{
 "cells": [
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [],
   "source": [
    "import numpy as np\n",
    "import pickle\n",
    "import matplotlib.pyplot as plt"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [],
   "source": [
    "import os"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 7,
   "metadata": {},
   "outputs": [],
   "source": [
    "from scipy import io as sio\n",
    "from scipy import linalg as la"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 4,
   "metadata": {},
   "outputs": [
    {
     "ename": "KeyboardInterrupt",
     "evalue": "",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mModuleNotFoundError\u001b[0m                       Traceback (most recent call last)",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/tvtk/tvtk_classes.zip/tvtk_classes/tvtk_helper.py:22\u001b[0m, in \u001b[0;36mget_module\u001b[0;34m(fname)\u001b[0m\n\u001b[1;32m     21\u001b[0m \u001b[39mtry\u001b[39;00m:\n\u001b[0;32m---> 22\u001b[0m     mod \u001b[39m=\u001b[39m \u001b[39m__import__\u001b[39;49m(\u001b[39m'\u001b[39;49m\u001b[39mtvtk.custom.\u001b[39;49m\u001b[39m%s\u001b[39;49;00m\u001b[39m'\u001b[39;49m\u001b[39m%\u001b[39;49mfname,\n\u001b[1;32m     23\u001b[0m                      \u001b[39mglobals\u001b[39;49m(), \u001b[39mlocals\u001b[39;49m(), [fname])\n\u001b[1;32m     24\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mImportError\u001b[39;00m:\n\u001b[1;32m     25\u001b[0m     \u001b[39m# This is a local import since the tvtk modules are all\u001b[39;00m\n\u001b[1;32m     26\u001b[0m     \u001b[39m# inside the tvtk_classes ZIP file and are local to the\u001b[39;00m\n\u001b[1;32m     27\u001b[0m     \u001b[39m# current module: tvtk_helper.py\u001b[39;00m\n",
      "\u001b[0;31mModuleNotFoundError\u001b[0m: No module named 'tvtk.custom.delaunay3d'",
      "\nDuring handling of the above exception, another exception occurred:\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m                         Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[4], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mmayavi\u001b[39;00m \u001b[39mimport\u001b[39;00m mlab\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/mlab.py:34\u001b[0m\n\u001b[1;32m     29\u001b[0m     warnings\u001b[39m.\u001b[39mwarn(\u001b[39m'\u001b[39m\u001b[39mThe show_engine function is deprecated, please use\u001b[39m\u001b[39m'\u001b[39m\n\u001b[1;32m     30\u001b[0m                   \u001b[39m'\u001b[39m\u001b[39mshow_pipeline\u001b[39m\u001b[39m'\u001b[39m, stacklevel\u001b[39m=\u001b[39m\u001b[39m2\u001b[39m)\n\u001b[1;32m     31\u001b[0m     \u001b[39mreturn\u001b[39;00m show_pipeline()\n\u001b[0;32m---> 34\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mtools\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mhelper_functions\u001b[39;00m \u001b[39mimport\u001b[39;00m contour3d, test_contour3d, \\\n\u001b[1;32m     35\u001b[0m     quiver3d, test_quiver3d, test_quiver3d_2d_data, \\\n\u001b[1;32m     36\u001b[0m     points3d, test_points3d, test_molecule, \\\n\u001b[1;32m     37\u001b[0m     volume_slice, test_volume_slice, \\\n\u001b[1;32m     38\u001b[0m     flow, test_flow, \\\n\u001b[1;32m     39\u001b[0m     imshow, test_imshow, \\\n\u001b[1;32m     40\u001b[0m     surf, test_surf, mesh, test_mesh, test_simple_surf, \\\n\u001b[1;32m     41\u001b[0m     test_mesh_sphere, test_fancy_mesh,\\\n\u001b[1;32m     42\u001b[0m     contour_surf, test_contour_surf, \\\n\u001b[1;32m     43\u001b[0m     plot3d, test_plot3d, \\\n\u001b[1;32m     44\u001b[0m     test_plot3d_anim, test_points3d_anim, test_contour3d_anim,\\\n\u001b[1;32m     45\u001b[0m     test_simple_surf_anim, test_flow_anim, test_mesh_sphere_anim, \\\n\u001b[1;32m     46\u001b[0m     test_volume_slice_anim, \\\n\u001b[1;32m     47\u001b[0m     triangular_mesh, test_triangular_mesh, barchart, \\\n\u001b[1;32m     48\u001b[0m     test_barchart, test_mesh_mask_custom_colors, \\\n\u001b[1;32m     49\u001b[0m     set_picker_props\n\u001b[1;32m     52\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mtools\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mdecorations\u001b[39;00m \u001b[39mimport\u001b[39;00m colorbar, scalarbar, vectorbar, \\\n\u001b[1;32m     53\u001b[0m     outline, axes, xlabel, ylabel, zlabel, text, title, \\\n\u001b[1;32m     54\u001b[0m     orientation_axes, text3d\n\u001b[1;32m     56\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mtools\u001b[39;00m \u001b[39mimport\u001b[39;00m pipeline\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/tools/helper_functions.py:16\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m      2\u001b[0m \u001b[39mHelper functions for mlab. These combine creation of the data sources,\u001b[39;00m\n\u001b[1;32m      3\u001b[0m \u001b[39mand applying the modules to them to make standard visualization\u001b[39;00m\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m      9\u001b[0m \u001b[39mboth for testing and to ilustrate its use.\u001b[39;00m\n\u001b[1;32m     10\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m     12\u001b[0m \u001b[39m# Author: Gael Varoquaux <gael.varoquaux@normalesup.org>\u001b[39;00m\n\u001b[1;32m     13\u001b[0m \u001b[39m# Copyright (c) 2007, Enthought, Inc.\u001b[39;00m\n\u001b[1;32m     14\u001b[0m \u001b[39m# License: BSD Style.\u001b[39;00m\n\u001b[0;32m---> 16\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mmodules\u001b[39;00m \u001b[39mimport\u001b[39;00m VectorsFactory, StreamlineFactory, GlyphFactory, \\\n\u001b[1;32m     17\u001b[0m             IsoSurfaceFactory, SurfaceFactory, ContourSurfaceFactory, \\\n\u001b[1;32m     18\u001b[0m             ImageActorFactory, ImagePlaneWidgetFactory, glyph_mode_dict\n\u001b[1;32m     19\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39msources\u001b[39;00m \u001b[39mimport\u001b[39;00m vector_scatter, vector_field, scalar_scatter, \\\n\u001b[1;32m     20\u001b[0m             scalar_field, line_source, array2d_source, grid_source, \\\n\u001b[1;32m     21\u001b[0m             triangular_mesh_source, vertical_vectors_source\n\u001b[1;32m     22\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mfilters\u001b[39;00m \u001b[39mimport\u001b[39;00m ExtractVectorNormFactory, WarpScalarFactory, \\\n\u001b[1;32m     23\u001b[0m             TubeFactory, ExtractEdgesFactory, PolyDataNormalsFactory, \\\n\u001b[1;32m     24\u001b[0m             StripperFactory\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/tools/modules.py:27\u001b[0m\n\u001b[1;32m     25\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m \u001b[39mimport\u001b[39;00m tools\n\u001b[1;32m     26\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mpipe_base\u001b[39;00m \u001b[39mimport\u001b[39;00m PipeFactory, make_function\n\u001b[0;32m---> 27\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mfilters\u001b[39;00m \u001b[39mimport\u001b[39;00m new_class\n\u001b[1;32m     30\u001b[0m \u001b[39m# This the list is dynamically populated further down below at the end.\u001b[39;00m\n\u001b[1;32m     31\u001b[0m __all__ \u001b[39m=\u001b[39m [\u001b[39m'\u001b[39m\u001b[39mvectors\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mglyph\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mstreamline\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39msurface\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39miso_surface\u001b[39m\u001b[39m'\u001b[39m,\n\u001b[1;32m     32\u001b[0m             \u001b[39m'\u001b[39m\u001b[39mimage_actor\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mcontour_surface\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mcontour_grid_plane\u001b[39m\u001b[39m'\u001b[39m,\n\u001b[1;32m     33\u001b[0m             \u001b[39m'\u001b[39m\u001b[39mcustom_grid_plane\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mimage_plane_widget\u001b[39m\u001b[39m'\u001b[39m,\n\u001b[1;32m     34\u001b[0m             \u001b[39m'\u001b[39m\u001b[39mscalar_cut_plane\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mvector_cut_plane\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mvolume\u001b[39m\u001b[39m'\u001b[39m,\n\u001b[1;32m     35\u001b[0m             ]\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/tools/filters.py:18\u001b[0m\n\u001b[1;32m     16\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mtvtk\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mcommon\u001b[39;00m \u001b[39mimport\u001b[39;00m camel2enthought\n\u001b[1;32m     17\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mtvtk\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mapi\u001b[39;00m \u001b[39mimport\u001b[39;00m tvtk\n\u001b[0;32m---> 18\u001b[0m \u001b[39mimport\u001b[39;00m \u001b[39mmayavi\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mfilters\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mapi\u001b[39;00m \u001b[39mas\u001b[39;00m \u001b[39mfilters\u001b[39;00m\n\u001b[1;32m     19\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mmayavi\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mcore\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mregistry\u001b[39;00m \u001b[39mimport\u001b[39;00m registry\n\u001b[1;32m     20\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mpipe_base\u001b[39;00m \u001b[39mimport\u001b[39;00m PipeFactory, make_function\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/filters/api.py:16\u001b[0m\n\u001b[1;32m     14\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mdecimatepro\u001b[39;00m \u001b[39mimport\u001b[39;00m DecimatePro\n\u001b[1;32m     15\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mdelaunay2d\u001b[39;00m \u001b[39mimport\u001b[39;00m Delaunay2D\n\u001b[0;32m---> 16\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mdelaunay3d\u001b[39;00m \u001b[39mimport\u001b[39;00m Delaunay3D\n\u001b[1;32m     17\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39melevation_filter\u001b[39;00m \u001b[39mimport\u001b[39;00m ElevationFilter\n\u001b[1;32m     18\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39m.\u001b[39;00m\u001b[39mextract_edges\u001b[39;00m \u001b[39mimport\u001b[39;00m ExtractEdges\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/filters/delaunay3d.py:17\u001b[0m\n\u001b[1;32m     11\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mmayavi\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mcore\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mpipeline_info\u001b[39;00m \u001b[39mimport\u001b[39;00m PipelineInfo\n\u001b[1;32m     14\u001b[0m \u001b[39m######################################################################\u001b[39;00m\n\u001b[1;32m     15\u001b[0m \u001b[39m# `Delaunay3D` class.\u001b[39;00m\n\u001b[1;32m     16\u001b[0m \u001b[39m######################################################################\u001b[39;00m\n\u001b[0;32m---> 17\u001b[0m \u001b[39mclass\u001b[39;00m \u001b[39mDelaunay3D\u001b[39;00m(FilterBase):\n\u001b[1;32m     19\u001b[0m \u001b[39m    \u001b[39m\u001b[39m\"\"\"Performs a 3D Delaunay triangulation using the tvtk.Delaunay3D\u001b[39;00m\n\u001b[1;32m     20\u001b[0m \u001b[39m    class.\u001b[39;00m\n\u001b[1;32m     21\u001b[0m \u001b[39m    \"\"\"\u001b[39;00m\n\u001b[1;32m     23\u001b[0m     \u001b[39m# The version of this class.  Used for persistence.\u001b[39;00m\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/mayavi/filters/delaunay3d.py:27\u001b[0m, in \u001b[0;36mDelaunay3D\u001b[0;34m()\u001b[0m\n\u001b[1;32m     24\u001b[0m __version__ \u001b[39m=\u001b[39m \u001b[39m0\u001b[39m\n\u001b[1;32m     26\u001b[0m \u001b[39m# The actual TVTK filter that this class manages.\u001b[39;00m\n\u001b[0;32m---> 27\u001b[0m \u001b[39mfilter\u001b[39m \u001b[39m=\u001b[39m Instance(tvtk\u001b[39m.\u001b[39;49mDelaunay3D, args\u001b[39m=\u001b[39m(), allow_none\u001b[39m=\u001b[39m\u001b[39mFalse\u001b[39;00m, record\u001b[39m=\u001b[39m\u001b[39mTrue\u001b[39;00m)\n\u001b[1;32m     29\u001b[0m input_info \u001b[39m=\u001b[39m PipelineInfo(datasets\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39mstructured_grid\u001b[39m\u001b[39m'\u001b[39m, \u001b[39m'\u001b[39m\u001b[39mpoly_data\u001b[39m\u001b[39m'\u001b[39m,\n\u001b[1;32m     30\u001b[0m                                     \u001b[39m'\u001b[39m\u001b[39munstructured_grid\u001b[39m\u001b[39m'\u001b[39m],\n\u001b[1;32m     31\u001b[0m                           attribute_types\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39many\u001b[39m\u001b[39m'\u001b[39m],\n\u001b[1;32m     32\u001b[0m                           attributes\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39many\u001b[39m\u001b[39m'\u001b[39m])\n\u001b[1;32m     34\u001b[0m output_info \u001b[39m=\u001b[39m PipelineInfo(datasets\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39munstructured_grid\u001b[39m\u001b[39m'\u001b[39m],\n\u001b[1;32m     35\u001b[0m                            attribute_types\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39many\u001b[39m\u001b[39m'\u001b[39m],\n\u001b[1;32m     36\u001b[0m                            attributes\u001b[39m=\u001b[39m[\u001b[39m'\u001b[39m\u001b[39many\u001b[39m\u001b[39m'\u001b[39m])\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/tvtk/tvtk_classes.zip/tvtk_classes/tvtk_helper.py:1085\u001b[0m, in \u001b[0;36mTVTK.<lambda>\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m   1083\u001b[0m DeformPointSet \u001b[39m=\u001b[39m \u001b[39mproperty\u001b[39m(\u001b[39mlambda\u001b[39;00m \u001b[39mself\u001b[39m: get_class(\u001b[39m'\u001b[39m\u001b[39mDeformPointSet\u001b[39m\u001b[39m'\u001b[39m))\n\u001b[1;32m   1084\u001b[0m Delaunay2D \u001b[39m=\u001b[39m \u001b[39mproperty\u001b[39m(\u001b[39mlambda\u001b[39;00m \u001b[39mself\u001b[39m: get_class(\u001b[39m'\u001b[39m\u001b[39mDelaunay2D\u001b[39m\u001b[39m'\u001b[39m))\n\u001b[0;32m-> 1085\u001b[0m Delaunay3D \u001b[39m=\u001b[39m \u001b[39mproperty\u001b[39m(\u001b[39mlambda\u001b[39;00m \u001b[39mself\u001b[39m: get_class(\u001b[39m'\u001b[39;49m\u001b[39mDelaunay3D\u001b[39;49m\u001b[39m'\u001b[39;49m))\n\u001b[1;32m   1086\u001b[0m DelimitedTextReader \u001b[39m=\u001b[39m \u001b[39mproperty\u001b[39m(\u001b[39mlambda\u001b[39;00m \u001b[39mself\u001b[39m: get_class(\u001b[39m'\u001b[39m\u001b[39mDelimitedTextReader\u001b[39m\u001b[39m'\u001b[39m))\n\u001b[1;32m   1087\u001b[0m DelimitedTextWriter \u001b[39m=\u001b[39m \u001b[39mproperty\u001b[39m(\u001b[39mlambda\u001b[39;00m \u001b[39mself\u001b[39m: get_class(\u001b[39m'\u001b[39m\u001b[39mDelimitedTextWriter\u001b[39m\u001b[39m'\u001b[39m))\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/tvtk/tvtk_classes.zip/tvtk_classes/tvtk_helper.py:47\u001b[0m, in \u001b[0;36mget_class\u001b[0;34m(name)\u001b[0m\n\u001b[1;32m     45\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m     46\u001b[0m     fname \u001b[39m=\u001b[39m camel2enthought(name)\n\u001b[0;32m---> 47\u001b[0m     mod \u001b[39m=\u001b[39m get_module(fname)\n\u001b[1;32m     48\u001b[0m     klass \u001b[39m=\u001b[39m \u001b[39mgetattr\u001b[39m(mod, name)\n\u001b[1;32m     49\u001b[0m     _cache[name] \u001b[39m=\u001b[39m klass\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/tvtk/tvtk_classes.zip/tvtk_classes/tvtk_helper.py:28\u001b[0m, in \u001b[0;36mget_module\u001b[0;34m(fname)\u001b[0m\n\u001b[1;32m     22\u001b[0m     mod \u001b[39m=\u001b[39m \u001b[39m__import__\u001b[39m(\u001b[39m'\u001b[39m\u001b[39mtvtk.custom.\u001b[39m\u001b[39m%s\u001b[39;00m\u001b[39m'\u001b[39m\u001b[39m%\u001b[39mfname,\n\u001b[1;32m     23\u001b[0m                      \u001b[39mglobals\u001b[39m(), \u001b[39mlocals\u001b[39m(), [fname])\n\u001b[1;32m     24\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mImportError\u001b[39;00m:\n\u001b[1;32m     25\u001b[0m     \u001b[39m# This is a local import since the tvtk modules are all\u001b[39;00m\n\u001b[1;32m     26\u001b[0m     \u001b[39m# inside the tvtk_classes ZIP file and are local to the\u001b[39;00m\n\u001b[1;32m     27\u001b[0m     \u001b[39m# current module: tvtk_helper.py\u001b[39;00m\n\u001b[0;32m---> 28\u001b[0m     mod \u001b[39m=\u001b[39m \u001b[39m__import__\u001b[39;49m(\u001b[39m'\u001b[39;49m\u001b[39mtvtk.tvtk_classes.\u001b[39;49m\u001b[39m%s\u001b[39;49;00m\u001b[39m'\u001b[39;49m\u001b[39m%\u001b[39;49mfname, \u001b[39mglobals\u001b[39;49m(), \u001b[39mlocals\u001b[39;49m(), [fname])\n\u001b[1;32m     29\u001b[0m \u001b[39mreturn\u001b[39;00m mod\n",
      "File \u001b[0;32m<frozen importlib._bootstrap>:1007\u001b[0m, in \u001b[0;36m_find_and_load\u001b[0;34m(name, import_)\u001b[0m\n",
      "File \u001b[0;32m<frozen importlib._bootstrap>:986\u001b[0m, in \u001b[0;36m_find_and_load_unlocked\u001b[0;34m(name, import_)\u001b[0m\n",
      "File \u001b[0;32m<frozen importlib._bootstrap>:664\u001b[0m, in \u001b[0;36m_load_unlocked\u001b[0;34m(spec)\u001b[0m\n",
      "File \u001b[0;32m<frozen importlib._bootstrap>:627\u001b[0m, in \u001b[0;36m_load_backward_compatible\u001b[0;34m(spec)\u001b[0m\n",
      "File \u001b[0;32m<frozen zipimport>:259\u001b[0m, in \u001b[0;36mload_module\u001b[0;34m(self, fullname)\u001b[0m\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/tvtk/tvtk_classes.zip/tvtk_classes/delaunay3d.py:34\u001b[0m\n\u001b[1;32m     29\u001b[0m inf \u001b[39m=\u001b[39m \u001b[39mfloat\u001b[39m(\u001b[39m'\u001b[39m\u001b[39minf\u001b[39m\u001b[39m'\u001b[39m)\n\u001b[1;32m     31\u001b[0m \u001b[39mfrom\u001b[39;00m \u001b[39mtvtk\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39mtvtk_classes\u001b[39;00m\u001b[39m.\u001b[39;00m\u001b[39munstructured_grid_algorithm\u001b[39;00m \u001b[39mimport\u001b[39;00m UnstructuredGridAlgorithm\n\u001b[0;32m---> 34\u001b[0m \u001b[39mclass\u001b[39;00m \u001b[39mDelaunay3D\u001b[39;00m(UnstructuredGridAlgorithm):\n\u001b[1;32m     35\u001b[0m \u001b[39m    \u001b[39m\u001b[39mr\u001b[39m\u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m     36\u001b[0m \u001b[39m    Delaunay3D - create 3D Delaunay triangulation of input points\u001b[39;00m\n\u001b[1;32m     37\u001b[0m \u001b[39m    \u001b[39;00m\n\u001b[0;32m   (...)\u001b[0m\n\u001b[1;32m    115\u001b[0m \u001b[39m    \u001b[39;00m\n\u001b[1;32m    116\u001b[0m \u001b[39m    \"\"\"\u001b[39;00m\n\u001b[1;32m    117\u001b[0m     \u001b[39mdef\u001b[39;00m \u001b[39m__init__\u001b[39m(\u001b[39mself\u001b[39m, obj\u001b[39m=\u001b[39m\u001b[39mNone\u001b[39;00m, update\u001b[39m=\u001b[39m\u001b[39mTrue\u001b[39;00m, \u001b[39m*\u001b[39m\u001b[39m*\u001b[39mtraits):\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/traits/has_traits.py:400\u001b[0m, in \u001b[0;36mMetaHasTraits.__new__\u001b[0;34m(cls, class_name, bases, class_dict)\u001b[0m\n\u001b[1;32m    399\u001b[0m \u001b[39mdef\u001b[39;00m \u001b[39m__new__\u001b[39m(\u001b[39mcls\u001b[39m, class_name, bases, class_dict):\n\u001b[0;32m--> 400\u001b[0m     update_traits_class_dict(class_name, bases, class_dict)\n\u001b[1;32m    402\u001b[0m     \u001b[39m# Finish building the class using the updated class dictionary:\u001b[39;00m\n\u001b[1;32m    403\u001b[0m     klass \u001b[39m=\u001b[39m \u001b[39mtype\u001b[39m\u001b[39m.\u001b[39m\u001b[39m__new__\u001b[39m(\u001b[39mcls\u001b[39m, class_name, bases, class_dict)\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/traits/has_traits.py:490\u001b[0m, in \u001b[0;36mupdate_traits_class_dict\u001b[0;34m(class_name, bases, class_dict)\u001b[0m\n\u001b[1;32m    486\u001b[0m \u001b[39m# Move all trait definitions from the class dictionary to the\u001b[39;00m\n\u001b[1;32m    487\u001b[0m \u001b[39m# appropriate trait class dictionaries:\u001b[39;00m\n\u001b[1;32m    488\u001b[0m \u001b[39mfor\u001b[39;00m name, value \u001b[39min\u001b[39;00m \u001b[39mlist\u001b[39m(class_dict\u001b[39m.\u001b[39mitems()):\n\u001b[0;32m--> 490\u001b[0m     value \u001b[39m=\u001b[39m check_trait(value)\n\u001b[1;32m    491\u001b[0m     rc \u001b[39m=\u001b[39m \u001b[39misinstance\u001b[39m(value, CTrait)\n\u001b[1;32m    493\u001b[0m     \u001b[39mif\u001b[39;00m (\u001b[39mnot\u001b[39;00m rc) \u001b[39mand\u001b[39;00m \u001b[39misinstance\u001b[39m(value, ForwardProperty):\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/traits/trait_converters.py:76\u001b[0m, in \u001b[0;36mcheck_trait\u001b[0;34m(trait)\u001b[0m\n\u001b[1;32m     72\u001b[0m \u001b[39m\u001b[39m\u001b[39m\"\"\" Returns either the original value or a valid CTrait if the value can be\u001b[39;00m\n\u001b[1;32m     73\u001b[0m \u001b[39m    converted to a CTrait.\u001b[39;00m\n\u001b[1;32m     74\u001b[0m \u001b[39m\"\"\"\u001b[39;00m\n\u001b[1;32m     75\u001b[0m \u001b[39mtry\u001b[39;00m:\n\u001b[0;32m---> 76\u001b[0m     \u001b[39mreturn\u001b[39;00m as_ctrait(trait)\n\u001b[1;32m     77\u001b[0m \u001b[39mexcept\u001b[39;00m \u001b[39mTypeError\u001b[39;00m:\n\u001b[1;32m     78\u001b[0m     \u001b[39mreturn\u001b[39;00m trait\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/traits/trait_converters.py:68\u001b[0m, in \u001b[0;36mas_ctrait\u001b[0;34m(obj)\u001b[0m\n\u001b[1;32m     65\u001b[0m     \u001b[39mreturn\u001b[39;00m obj\u001b[39m.\u001b[39mas_ctrait()\n\u001b[1;32m     66\u001b[0m \u001b[39melse\u001b[39;00m:\n\u001b[1;32m     67\u001b[0m     \u001b[39mraise\u001b[39;00m \u001b[39mTypeError\u001b[39;00m(\n\u001b[0;32m---> 68\u001b[0m         \u001b[39m\"\u001b[39;49m\u001b[39mObject \u001b[39;49m\u001b[39m{!r}\u001b[39;49;00m\u001b[39m does not support conversion to CTrait\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m.\u001b[39;49mformat(obj))\n",
      "\u001b[0;31mKeyboardInterrupt\u001b[0m: "
     ]
    }
   ],
   "source": [
    "from mayavi import mlab"
   ]
  },
  {
   "cell_type": "markdown",
   "metadata": {},
   "source": [
    "# Hermitian case"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 5,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "Using matplotlib backend: QtAgg\n"
     ]
    }
   ],
   "source": [
    "%matplotlib"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [],
   "source": [
    "GBZ_info = sio.loadmat(\"data/GBZ_info_1.mat\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 8,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "{'__header__': b'MATLAB 5.0 MAT-file Platform: posix, Created on: Sat Sep  2 19:06:52 2023', '__version__': '1.0', '__globals__': [], 'model_params': array([[3.+0.j, 3.+0.j, 4.+0.j, 4.+0.j, 0.+1.j, 0.+1.j]]), 'phi1_list': array([[0.06159986, 0.12319971, 0.18479957, 0.24639942, 0.30799928,\n",
      "        0.36959914, 0.43119899, 0.49279885, 0.5543987 , 0.61599856,\n",
      "        0.67759842, 0.73919827, 0.80079813, 0.86239798, 0.92399784,\n",
      "        0.9855977 , 1.04719755, 1.10879741, 1.17039726, 1.23199712,\n",
      "        1.29359698, 1.35519683, 1.41679669, 1.47839654, 1.5399964 ,\n",
      "        1.60159625, 1.66319611, 1.72479597, 1.78639582, 1.84799568,\n",
      "        1.90959553, 1.97119539, 2.03279525, 2.0943951 , 2.15599496,\n",
      "        2.21759481, 2.27919467, 2.34079453, 2.40239438, 2.46399424,\n",
      "        2.52559409, 2.58719395, 2.64879381, 2.71039366, 2.77199352,\n",
      "        2.83359337, 2.89519323, 2.95679309, 3.01839294, 3.0799928 ]]), 'phi2_list': array([[0.06159986, 0.12319971, 0.18479957, 0.24639942, 0.30799928,\n",
      "        0.36959914, 0.43119899, 0.49279885, 0.5543987 , 0.61599856,\n",
      "        0.67759842, 0.73919827, 0.80079813, 0.86239798, 0.92399784,\n",
      "        0.9855977 , 1.04719755, 1.10879741, 1.17039726, 1.23199712,\n",
      "        1.29359698, 1.35519683, 1.41679669, 1.47839654, 1.5399964 ,\n",
      "        1.60159625, 1.66319611, 1.72479597, 1.78639582, 1.84799568,\n",
      "        1.90959553, 1.97119539, 2.03279525, 2.0943951 , 2.15599496,\n",
      "        2.21759481, 2.27919467, 2.34079453, 2.40239438, 2.46399424,\n",
      "        2.52559409, 2.58719395, 2.64879381, 2.71039366, 2.77199352,\n",
      "        2.83359337, 2.89519323, 2.95679309, 3.01839294, 3.0799928 ]])}\n"
     ]
    }
   ],
   "source": [
    "print(GBZ_info)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 9,
   "metadata": {},
   "outputs": [],
   "source": [
    "ux1, ux2, uy1, uy2, vx1, vx2 = GBZ_info['model_params'].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 6,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "1j\n",
      "(3+0j)\n",
      "(4+0j)\n"
     ]
    }
   ],
   "source": [
    "print(vx1)\n",
    "print(ux1)\n",
    "print(uy1)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [],
   "source": [
    "phi1_list = GBZ_info['phi1_list'].flatten()\n",
    "phi2_list = GBZ_info['phi2_list'].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def Hamiltonian_matrix(k1, k2, ux, uy, vx):\n",
    "    H = np.array([\n",
    "        [2 * uy * np.cos(k2), ux + vx * np.exp(1j*k1)],\n",
    "        [ux + vx * np.exp(-1j*k1), 2 * vx * np.cos(k2)]\n",
    "    ])\n",
    "    return H"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "ux = ux1\n",
    "uy = uy1\n",
    "vx = vx1\n",
    "# vx = -uy"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 13,
   "metadata": {},
   "outputs": [],
   "source": [
    "def char_poly(E, beta1, beta2, ux, uy, vx):\n",
    "    return (E**2 - (vx/beta2 + vx * beta2 + uy / beta2 + uy * beta2) * E +\n",
    "            vx * uy * beta2**2 + uy * vx / (beta2**2) - ux * vx / beta1 - ux * vx * beta1 + vx * uy + vx * uy - ux **2 - vx **2) "
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[0.01960784 0.03921569 0.05882353 0.07843137 0.09803922 0.11764706\n",
      " 0.1372549  0.15686275 0.17647059 0.19607843 0.21568627 0.23529412\n",
      " 0.25490196 0.2745098  0.29411765 0.31372549 0.33333333 0.35294118\n",
      " 0.37254902 0.39215686 0.41176471 0.43137255 0.45098039 0.47058824\n",
      " 0.49019608 0.50980392 0.52941176 0.54901961 0.56862745 0.58823529\n",
      " 0.60784314 0.62745098 0.64705882 0.66666667 0.68627451 0.70588235\n",
      " 0.7254902  0.74509804 0.76470588 0.78431373 0.80392157 0.82352941\n",
      " 0.84313725 0.8627451  0.88235294 0.90196078 0.92156863 0.94117647\n",
      " 0.96078431 0.98039216]\n"
     ]
    }
   ],
   "source": [
    "print(phi2_list/np.pi)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 27,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_Hermitian_y_major(phi1_index:int):\n",
    "    global phi1_list, ux, uy, vx\n",
    "    phi1 = phi1_list[phi1_index]\n",
    "    print(phi1/np.pi)\n",
    "    k1 = phi1/2\n",
    "    k2 = np.linspace(0,2*np.pi, 50)\n",
    "    E_list = np.zeros((4, len(k2)))\n",
    "    for j in range(len(k2)):\n",
    "        E_list[:2,j] = la.eigh(Hamiltonian_matrix(-k1, k2[j], ux, uy, vx))[0]\n",
    "        E_list[2:,j] = la.eigh(Hamiltonian_matrix(np.pi - k1, k2[j], ux, uy, vx))[0]\n",
    "        \n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(projection='3d')\n",
    "    ax.set_xlabel(\"Re$\\\\beta_1$\")\n",
    "    ax.set_ylabel(\"Im$\\\\beta_1$\")\n",
    "    ax.set_zlabel(\"E\")\n",
    "    print(\"Theoretical\")\n",
    "    for j in range(4):\n",
    "        ax.plot(np.cos(k2), np.sin(k2), E_list[j,:])\n",
    "    #     if(j < 2):\n",
    "    #         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*k2), ux, uy, vx))))\n",
    "    #     else:\n",
    "    #         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*(np.pi-k2)), ux, uy, vx))))\n",
    "\n",
    "    \n",
    "    with open(\"data/GBZ_data_3/y_major_%d.pkl\"%(phi1_index), \"rb\") as fp:\n",
    "        GBZ_segments = pickle.load(fp)\n",
    "    \n",
    "    print(\"Numerical\")\n",
    "    for seg in GBZ_segments:\n",
    "        # print(seg[0,2] - np.exp(-1j*k2))\n",
    "        # print(np.log(seg[0,2]).imag/np.pi)\n",
    "        # print(k2/np.pi)\n",
    "        ax.plot(seg[:,2].real, seg[:,2].imag, seg[:,0].real, '.')\n",
    "        # print(np.max(np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2], ux, uy, vx))))\n",
    "        # print(np.max(np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2]*np.exp(1j*phi2), ux, uy, vx))))\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 21,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_Hermitian(phi2_index:int):\n",
    "    global phi2_list, ux, uy, vx\n",
    "    phi2 = phi2_list[phi2_index]\n",
    "    print(phi2/np.pi)\n",
    "    k2 = phi2/2\n",
    "    k1 = np.linspace(0,2*np.pi, 50)\n",
    "    E_list = np.zeros((4, len(k1)))\n",
    "    for j in range(len(k1)):\n",
    "        E_list[:2,j] = la.eigh(Hamiltonian_matrix(k1[j], -k2, ux, uy, vx))[0]\n",
    "        E_list[2:,j] = la.eigh(Hamiltonian_matrix(k1[j], np.pi-k2, ux, uy, vx))[0]\n",
    "        \n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(projection='3d')\n",
    "    ax.set_xlabel(\"Re$\\\\beta_1$\")\n",
    "    ax.set_ylabel(\"Im$\\\\beta_1$\")\n",
    "    ax.set_zlabel(\"E\")\n",
    "    ax = fig.gca()\n",
    "    # print(\"Theoretical\")\n",
    "    for j in range(4):\n",
    "        ax.plot(np.cos(k1), np.sin(k1), E_list[j,:])\n",
    "    #     if(j < 2):\n",
    "    #         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*k2), ux, uy, vx))))\n",
    "    #     else:\n",
    "    #         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*(np.pi-k2)), ux, uy, vx))))\n",
    "\n",
    "    \n",
    "    with open(\"data/GBZ_data_3/x_major_%d.pkl\"%(phi2_index), \"rb\") as fp:\n",
    "        GBZ_segments = pickle.load(fp)\n",
    "    \n",
    "    print(len(GBZ_segments))\n",
    "    print(\"Numerical\")\n",
    "    for j, seg in enumerate(GBZ_segments):\n",
    "        # print(seg[0,2] - np.exp(-1j*k2))\n",
    "        # print(np.log(seg[0,2]).imag/np.pi)\n",
    "        # print(k2/np.pi)\n",
    "        # if(seg.shape[0] > 47):\n",
    "        ax.plot(seg[:,1].real, seg[:,1].imag, seg[:,0].real, '--')\n",
    "        # ax.plot(seg[:,0].real, seg[:,0].imag)\n",
    "        # print(np.log(seg[:,2]).imag/np.pi)\n",
    "        # print(np.log(seg[:,1]).imag/np.pi)\n",
    "        # print(np.max(np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2], ux, uy, vx))))\n",
    "        # print(np.max(np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2]*np.exp(1j*phi2), ux, uy, vx))))\n",
    "        print(j)\n",
    "        print(seg[:,0])\n",
    "        print((np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2], ux, uy, vx))))\n",
    "        print((np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2]*np.exp(1j*phi2), ux, uy, vx))))\n",
    "        print((np.abs(char_poly(seg[:,0],seg[:,1], seg[:,2]*np.exp(-1j*phi2), ux, uy, vx))))\n",
    "        # plt.pause(1)\n",
    "        # input()\n",
    "    \n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 17,
   "metadata": {},
   "outputs": [],
   "source": [
    "def plot_BZ_band(ax):\n",
    "    global vx, ux, uy\n",
    "    k1 = np.linspace(-np.pi, np.pi, 100)\n",
    "    k2 = np.linspace(-np.pi, np.pi, 100)\n",
    "    K1, K2 = np.meshgrid(k1, k2)\n",
    "    E = np.zeros((2,100,100))\n",
    "    for i in range((100)):\n",
    "        for j in range((100)):\n",
    "            E[:, i, j] = la.eigh(Hamiltonian_matrix(K1[i,j], K2[i,j], ux, uy, vx))[0]\n",
    "    ax.plot_surface(K1, K2, E[0,:,:])\n",
    "    ax.plot_surface(K1, K2, E[1,:,:])"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 18,
   "metadata": {},
   "outputs": [],
   "source": [
    "fig = plt.figure()\n",
    "ax = fig.add_subplot(projection='3d')\n",
    "plot_BZ_band(ax)\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [],
   "source": [
    "def sweep_x_major():\n",
    "    global ux, uy, vx\n",
    "    fig = plt.figure()\n",
    "    ax = fig.add_subplot(projection='3d')\n",
    "    for j in range(20, 25):\n",
    "        if(os.path.exists(\"data/GBZ_data_3/x_major_%d.pkl\"%(j))):\n",
    "            test_BZ_x_major(j, ax)\n",
    "    plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 32,
   "metadata": {},
   "outputs": [],
   "source": [
    "def test_BZ_x_major(phi2_index:int, ax):\n",
    "    global ux, uy, vx\n",
    "    # fig = plt.figure()\n",
    "    # ax = fig.add_subplot(projection='3d')\n",
    "    # plot_BZ_band(ax)\n",
    "    max_diff = 0.0\n",
    "    with open(\"data/GBZ_data_3/x_major_%d.pkl\"%(phi2_index), \"rb\") as fp:\n",
    "        GBZ_segments = pickle.load(fp)\n",
    "    print(GBZ_segments)\n",
    "    for j, seg in enumerate(GBZ_segments):\n",
    "        ax.plot(np.log(seg[:,1]).imag, np.log(seg[:,2]).imag, seg[:,0].real, 'x')\n",
    "        for k in range(seg.shape[0]):\n",
    "            k1 = np.log(seg[k,1]).imag\n",
    "            k2 = np.log(seg[k,2]).imag\n",
    "            E = la.eigh(Hamiltonian_matrix(k1, k2, ux, uy, vx))[0]\n",
    "            # print(E)\n",
    "            # print(seg[k,0])\n",
    "            # print(min(np.abs(E-seg[k,0])))\n",
    "            if(min(np.abs(E-seg[k,0])) > max_diff):\n",
    "                max_diff = min(np.abs(E-seg[k,0]))\n",
    "    \n",
    "    print(\"max:\",max_diff)\n",
    "\n",
    "    # plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 41,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.4313725490196079\n",
      "236\n",
      "Numerical\n",
      "0\n",
      "[ 0.57002777+3.70550551e-11j  0.60228433+3.10207872e-11j\n",
      "  0.63105251+1.84171966e-11j  0.65622051+5.22134760e-12j\n",
      "  0.67776316-4.63382641e-12j  0.69573203-1.02434463e-11j\n",
      "  0.71024027+3.35418171e-10j  0.72144503+2.07113789e-11j\n",
      "  0.72953031+2.57440806e-10j  0.73469202+2.46823629e-10j\n",
      "  0.73712624+2.45341788e-10j  0.7370209 +2.46613415e-10j\n",
      "  0.7345504 +2.46735946e-10j  0.72987266+2.44169718e-10j\n",
      "  0.72312806+2.39377546e-10j  0.71443942+2.33833300e-10j\n",
      "  0.70391289+2.29028016e-10j  0.69163917+2.26007188e-10j\n",
      "  0.67769495+2.25327436e-10j  0.66214436+7.05469015e-17j\n",
      "  0.64504036-2.31568487e-10j  0.62642604-2.38385299e-10j\n",
      "  0.6063357 -2.47547981e-10j  0.58479589-2.59030701e-10j\n",
      "  0.56182628-2.72896433e-10j  0.53744032-2.89309483e-10j\n",
      "  0.51164595-3.08538599e-10j  0.48444606-2.48706498e-10j\n",
      "  0.455839  +3.57053639e-10j  0.42581894+8.67427324e-12j\n",
      "  0.39437626+1.16517443e-11j  0.36149791+1.54661093e-11j\n",
      "  0.32716779+2.03488789e-11j  0.29136719+2.66060355e-11j\n",
      "  0.25407533+3.46394881e-11j  0.21527003+4.49781757e-11j\n",
      "  0.17492872+5.83132724e-11j  0.13302969+7.55411598e-11j\n",
      "  0.0895539 +9.78115202e-11j  0.04448754+1.26560878e-10j\n",
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      " -0.20423797+7.53395824e-12j -0.2581741 +1.14441777e-11j\n",
      " -0.31309948+1.67048912e-11j -0.36865947+1.13096539e-16j\n",
      " -0.42435935+3.14723245e-17j -0.4795367 +2.77237612e-16j]\n",
      "[3.88335030e-10 2.80848486e-10 1.98004596e-10 1.73514053e-10\n",
      " 1.79767498e-10 1.80113797e-10 2.31789890e-09 3.53419780e-10\n",
      " 2.31498037e-09 2.31991272e-09 2.30057447e-09 2.24216756e-09\n",
      " 2.14624449e-09 2.02629648e-09 1.90467142e-09 1.80432172e-09\n",
      " 1.74160332e-09 1.72415922e-09 1.75256972e-09 4.07619710e-15\n",
      " 1.93249498e-09 2.07605553e-09 2.25227626e-09 2.46119530e-09\n",
      " 2.70475154e-09 2.98673798e-09 3.31280170e-09 1.28505909e-09\n",
      " 4.12995433e-09 2.09036091e-10 2.43929446e-10 2.86104522e-10\n",
      " 3.37528254e-10 4.00748078e-10 4.79067727e-10 5.76826545e-10\n",
      " 6.99718268e-10 8.55243544e-10 1.05327924e-09 1.30677937e-09\n",
      " 1.63258130e-09 2.05220438e-09 2.59226426e-09 3.28381036e-09\n",
      " 6.08675155e-11 9.80411839e-11 1.51049235e-10 3.79429987e-15\n",
      " 3.97205465e-15 3.79429987e-15]\n",
      "[3.88335118e-10 2.80847604e-10 1.98002038e-10 1.73510229e-10\n",
      " 1.79763570e-10 1.80110123e-10 2.31790170e-09 3.53422892e-10\n",
      " 2.31498257e-09 2.31991467e-09 2.30057622e-09 2.24216902e-09\n",
      " 2.14624583e-09 2.02629753e-09 1.90467210e-09 1.80432128e-09\n",
      " 1.74160312e-09 1.72415857e-09 1.75256865e-09 4.57756680e-15\n",
      " 1.93248968e-09 2.07605159e-09 2.25227230e-09 2.46119133e-09\n",
      " 2.70474757e-09 2.98673239e-09 3.31279775e-09 1.28506300e-09\n",
      " 4.12995325e-09 2.09033276e-10 2.43926575e-10 2.86101593e-10\n",
      " 3.37525264e-10 4.00745026e-10 4.79064613e-10 5.76823367e-10\n",
      " 6.99715864e-10 8.55240239e-10 1.05327587e-09 1.30677594e-09\n",
      " 1.63257780e-09 2.05220082e-09 2.59226176e-09 3.28380786e-09\n",
      " 6.08655710e-11 9.80392944e-11 1.51047191e-10 1.83102672e-15\n",
      " 0.00000000e+00 4.44089210e-16]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "1\n",
      "[ 0.57002777+3.70550551e-11j  0.60228433+3.10207872e-11j\n",
      "  0.63105251+1.84171966e-11j  0.65622051+5.22134760e-12j\n",
      "  0.67776316-4.63382641e-12j  0.69573203-1.02434463e-11j\n",
      "  0.71024027+3.35418171e-10j  0.72144503+2.07113789e-11j\n",
      "  0.72953031+2.57440806e-10j  0.73469202+2.46823629e-10j\n",
      "  0.73712624+2.45341788e-10j  0.7370209 +2.46613415e-10j\n",
      "  0.7345504 +2.46735946e-10j  0.72987266+2.44169718e-10j\n",
      "  0.72312806+2.39377546e-10j  0.71443942+2.33833300e-10j\n",
      "  0.70391289+2.29028016e-10j  0.69163917+2.26007188e-10j\n",
      "  0.67769495+2.25327436e-10j  0.66214436+7.05469015e-17j\n",
      "  0.64504036-2.31568487e-10j  0.62642604-2.38385299e-10j\n",
      "  0.6063357 -2.47547981e-10j  0.58479589-2.59030701e-10j\n",
      "  0.56182628-2.72896433e-10j  0.53744032-2.89309483e-10j\n",
      "  0.51164595-3.08538599e-10j  0.48444606-2.48706498e-10j\n",
      "  0.455839  +3.57053639e-10j  0.42581894+8.67427324e-12j\n",
      "  0.39437626+1.16517443e-11j  0.36149791+1.54661093e-11j\n",
      "  0.32716779+2.03488789e-11j  0.29136719+2.66060355e-11j\n",
      "  0.25407533+3.46394881e-11j  0.21527003+4.49781757e-11j\n",
      "  0.17492872+5.83132724e-11j  0.13302969+7.55411598e-11j\n",
      "  0.0895539 +9.78115202e-11j  0.04448754+1.26560878e-10j\n",
      " -0.00217446+1.63518459e-10j -0.0504235 +2.10617496e-10j\n",
      " -0.1002304 +2.69725084e-10j -0.15153594+3.42009212e-10j\n",
      " -0.20423797+7.53395824e-12j -0.2581741 +1.14441777e-11j\n",
      " -0.31309948+1.67048912e-11j -0.36865947+1.13096539e-16j\n",
      " -0.42435935+3.14723245e-17j -0.4795367 +2.77237612e-16j]\n",
      "[3.88335118e-10 2.80847604e-10 1.98002038e-10 1.73510229e-10\n",
      " 1.79763570e-10 1.80110123e-10 2.31790170e-09 3.53422892e-10\n",
      " 2.31498257e-09 2.31991467e-09 2.30057622e-09 2.24216902e-09\n",
      " 2.14624583e-09 2.02629753e-09 1.90467210e-09 1.80432128e-09\n",
      " 1.74160312e-09 1.72415857e-09 1.75256865e-09 4.57756680e-15\n",
      " 1.93248968e-09 2.07605159e-09 2.25227230e-09 2.46119133e-09\n",
      " 2.70474757e-09 2.98673239e-09 3.31279775e-09 1.28506300e-09\n",
      " 4.12995325e-09 2.09033276e-10 2.43926575e-10 2.86101593e-10\n",
      " 3.37525264e-10 4.00745026e-10 4.79064613e-10 5.76823367e-10\n",
      " 6.99715864e-10 8.55240239e-10 1.05327587e-09 1.30677594e-09\n",
      " 1.63257780e-09 2.05220082e-09 2.59226176e-09 3.28380786e-09\n",
      " 6.08655710e-11 9.80392944e-11 1.51047191e-10 1.83102672e-15\n",
      " 0.00000000e+00 4.44089210e-16]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "[3.88337082e-10 2.80849761e-10 1.98004021e-10 1.73511806e-10\n",
      " 1.79764259e-10 1.80110287e-10 2.31790198e-09 3.53423348e-10\n",
      " 2.31498367e-09 2.31991591e-09 2.30057713e-09 2.24217012e-09\n",
      " 2.14624692e-09 2.02629918e-09 1.90467389e-09 1.80432389e-09\n",
      " 1.74160516e-09 1.72416070e-09 1.75257083e-09 5.51547357e-15\n",
      " 1.93249027e-09 2.07605232e-09 2.25227468e-09 2.46119385e-09\n",
      " 2.70475040e-09 2.98673366e-09 3.31279725e-09 1.28506212e-09\n",
      " 4.12995355e-09 2.09033145e-10 2.43925921e-10 2.86101398e-10\n",
      " 3.37525788e-10 4.00744925e-10 4.79064159e-10 5.76823368e-10\n",
      " 6.99715918e-10 8.55241231e-10 1.05327604e-09 1.30677617e-09\n",
      " 1.63257810e-09 2.05220226e-09 2.59226220e-09 3.28380719e-09\n",
      " 6.08647689e-11 9.80389683e-11 1.51046442e-10 3.66205344e-15\n",
      " 1.98602732e-15 2.22044605e-15]\n",
      "2\n",
      "[-0.4795367 +2.77237612e-16j -0.42435935+3.14723245e-17j\n",
      " -0.36865947+1.13096539e-16j -0.31309948+1.67048912e-11j\n",
      " -0.2581741 +1.14441777e-11j -0.20423797+7.53395824e-12j\n",
      " -0.15153594+3.42009212e-10j -0.1002304 +2.69725084e-10j\n",
      " -0.0504235 +2.10617496e-10j -0.00217446+1.63518459e-10j\n",
      "  0.04448754+1.26560878e-10j  0.0895539 +9.78115202e-11j\n",
      "  0.13302969+7.55411598e-11j  0.17492872+5.83132724e-11j\n",
      "  0.21527003+4.49781757e-11j  0.25407533+3.46394881e-11j\n",
      "  0.29136719+2.66060355e-11j  0.32716779+2.03488789e-11j\n",
      "  0.36149791+1.54661093e-11j  0.39437626+1.16517443e-11j\n",
      "  0.42581894+8.67427324e-12j  0.455839  +3.57053639e-10j\n",
      "  0.48444606-2.48706498e-10j  0.51164595-3.08538599e-10j\n",
      "  0.53744032-2.89309483e-10j  0.56182628-2.72896433e-10j\n",
      "  0.58479589-2.59030701e-10j  0.6063357 -2.47547981e-10j\n",
      "  0.62642604-2.38385299e-10j  0.64504036-2.31568487e-10j\n",
      "  0.66214436+7.05469015e-17j  0.67769495+2.25327436e-10j\n",
      "  0.69163917+2.26007188e-10j  0.70391289+2.29028016e-10j\n",
      "  0.71443942+2.33833300e-10j  0.72312806+2.39377546e-10j\n",
      "  0.72987266+2.44169718e-10j  0.7345504 +2.46735946e-10j\n",
      "  0.7370209 +2.46613415e-10j  0.73712624+2.45341788e-10j\n",
      "  0.73469202+2.46823629e-10j  0.72953031+2.57440806e-10j\n",
      "  0.72144503+2.07113789e-11j  0.71024027+3.35418171e-10j\n",
      "  0.69573203-1.02434463e-11j  0.67776316-4.63382641e-12j\n",
      "  0.65622051+5.22134760e-12j  0.63105251+1.84171966e-11j\n",
      "  0.60228433+3.10207872e-11j  0.57002777+3.70550551e-11j]\n",
      "[3.58036167e-15 8.88178420e-16 3.10862447e-15 8.00582102e-11\n",
      " 7.88249317e-11 7.64276088e-11 9.27635442e-09 7.13833652e-09\n",
      " 5.48189029e-09 4.21476399e-09 3.25146225e-09 2.52049867e-09\n",
      " 1.96523866e-09 1.54215160e-09 1.21834606e-09 9.69197472e-10\n",
      " 7.76352950e-10 6.26138259e-10 5.08355371e-10 4.15380053e-10\n",
      " 3.41476541e-10 5.23304711e-09 4.34149144e-09 3.60976059e-09\n",
      " 2.99004937e-09 2.46628075e-09 2.02152293e-09 1.64403309e-09\n",
      " 1.32801034e-09 1.07587495e-09 3.97205465e-15 8.30415113e-10\n",
      " 8.74793835e-10 1.01578015e-09 1.21649387e-09 1.44234689e-09\n",
      " 1.66242085e-09 1.84771851e-09 1.97625269e-09 2.04074831e-09\n",
      " 2.05151057e-09 2.03664391e-09 4.89044493e-10 1.98776282e-09\n",
      " 9.12547343e-11 5.84044157e-11 2.95177235e-12 8.89195790e-11\n",
      " 1.94806743e-10 2.97645201e-10]\n",
      "[1.83102672e-15 4.44089210e-16 3.97205465e-15 4.21125976e-10\n",
      " 2.81083335e-10 1.80875325e-10 1.58817540e-08 1.26708452e-08\n",
      " 1.00940932e-08 8.05128340e-09 6.44178088e-09 5.17643866e-09\n",
      " 4.18114691e-09 3.39644784e-09 2.77558669e-09 2.28221794e-09\n",
      " 1.88827909e-09 1.57211462e-09 1.31706381e-09 1.11024940e-09\n",
      " 9.41710952e-10 1.52447003e-08 2.26737069e-09 1.20375775e-08\n",
      " 1.07945460e-08 9.74072768e-09 8.84622009e-09 8.08616394e-09\n",
      " 7.43965560e-09 6.88862869e-09 1.33226763e-15 6.00732842e-09\n",
      " 5.64314323e-09 5.30327303e-09 4.96191722e-09 4.58689543e-09\n",
      " 4.14017930e-09 3.58328855e-09 2.89139346e-09 2.08835282e-09\n",
      " 1.42608722e-09 1.80278604e-09 5.78904238e-10 5.22432484e-09\n",
      " 5.10936741e-10 6.44045664e-10 7.67626146e-10 8.61023247e-10\n",
      " 9.03360484e-10 8.95065712e-10]\n",
      "[13.80149125 12.92364833 12.04573048 11.1795061  10.33368774  9.51440428\n",
      "  8.72573474  7.97019837  7.24916152  6.56315664  5.91212399  5.29559098\n",
      "  4.71280342  4.16282063  3.6445842   3.15696725  2.69880979  2.26894405\n",
      "  1.86621253  1.48948111  1.13764848  0.80965321  0.50447919  0.22116024\n",
      "  0.04121596  0.28350383  0.50649562  0.71091659  0.89741936  1.06657699\n",
      "  1.21887473  1.35469982  1.47432922  1.57791473  1.66546518  1.73682534\n",
      "  1.79165143  1.82938329  1.84921393  1.85005799  1.8305219   1.78888049\n",
      "  1.72306669  1.63068376  1.50905047  1.35529006  1.16647001  0.93979171\n",
      "  0.67281789  0.36371174]\n",
      "3\n",
      "[-0.4795367 +2.77237612e-16j -0.42435935+3.14723245e-17j\n",
      " -0.36865947+1.13096539e-16j -0.31309948+1.67048912e-11j\n",
      " -0.2581741 +1.14441777e-11j -0.20423797+7.53395824e-12j\n",
      " -0.15153594+3.42009212e-10j -0.1002304 +2.69725084e-10j\n",
      " -0.0504235 +2.10617496e-10j -0.00217446+1.63518459e-10j\n",
      "  0.04448754+1.26560878e-10j  0.0895539 +9.78115202e-11j\n",
      "  0.13302969+7.55411598e-11j  0.17492872+5.83132724e-11j\n",
      "  0.21527003+4.49781757e-11j  0.25407533+3.46394881e-11j\n",
      "  0.29136719+2.66060355e-11j  0.32716779+2.03488789e-11j\n",
      "  0.36149791+1.54661093e-11j  0.39437626+1.16517443e-11j\n",
      "  0.42581894+8.67427324e-12j  0.455839  +3.57053639e-10j\n",
      "  0.48444606-2.48706498e-10j  0.51164595-3.08538599e-10j\n",
      "  0.53744032-2.89309483e-10j  0.56182628-2.72896433e-10j\n",
      "  0.58479589-2.59030701e-10j  0.6063357 -2.47547981e-10j\n",
      "  0.62642604-2.38385299e-10j  0.64504036-2.31568487e-10j\n",
      "  0.66214436+7.05469015e-17j  0.67769495+2.25327436e-10j\n",
      "  0.69163917+2.26007188e-10j  0.70391289+2.29028016e-10j\n",
      "  0.71443942+2.33833300e-10j  0.72312806+2.39377546e-10j\n",
      "  0.72987266+2.44169718e-10j  0.7345504 +2.46735946e-10j\n",
      "  0.7370209 +2.46613415e-10j  0.73712624+2.45341788e-10j\n",
      "  0.73469202+2.46823629e-10j  0.72953031+2.57440806e-10j\n",
      "  0.72144503+2.07113789e-11j  0.71024027+3.35418171e-10j\n",
      "  0.69573203-1.02434463e-11j  0.67776316-4.63382641e-12j\n",
      "  0.65622051+5.22134760e-12j  0.63105251+1.84171966e-11j\n",
      "  0.60228433+3.10207872e-11j  0.57002777+3.70550551e-11j]\n",
      "[4.37377148e-15 4.44089210e-16 3.97205465e-15 4.21126049e-10\n",
      " 2.81081505e-10 1.80877963e-10 1.58817527e-08 1.26708467e-08\n",
      " 1.00940935e-08 8.05128548e-09 6.44178194e-09 5.17644078e-09\n",
      " 4.18114802e-09 3.39645122e-09 2.77558861e-09 2.28221943e-09\n",
      " 1.88828068e-09 1.57212142e-09 1.31706586e-09 1.11025148e-09\n",
      " 9.41713064e-10 1.52447003e-08 2.26737069e-09 1.20375775e-08\n",
      " 1.07945460e-08 9.74072768e-09 8.84622009e-09 8.08616394e-09\n",
      " 7.43965560e-09 6.88862869e-09 1.33226763e-15 6.00732842e-09\n",
      " 5.64314648e-09 5.30327303e-09 4.96191765e-09 4.58689574e-09\n",
      " 4.14018085e-09 3.58328855e-09 2.89139532e-09 2.08835205e-09\n",
      " 1.42608722e-09 1.80278634e-09 5.78906719e-10 5.22432484e-09\n",
      " 5.10936741e-10 6.44045664e-10 7.67626146e-10 8.61023247e-10\n",
      " 9.03360484e-10 8.95065712e-10]\n",
      "[ 0.55633131  1.15379459  1.78339628  2.43667926  3.10610339  3.78517776\n",
      "  4.46844051  5.15136142  5.83021531  6.50195346  7.16408565  7.81457796\n",
      "  8.45176664  9.07428703  9.68101526 10.27102059 10.8435265  11.39787859\n",
      " 11.93351803 12.44995919 12.94677044 13.42355747 13.87994824 14.31557905\n",
      " 14.73008121 15.12306795 15.49412094 15.84277625 16.16850927 16.47071827\n",
      " 16.74870627 17.00166097 17.22863266 17.42851001 17.59999421 17.74157217\n",
      " 17.85149037 17.92773183 17.9680003  17.96971733 17.9300402  17.84591065\n",
      " 17.71414571 17.5315813  17.2952757  17.00277103 16.65239731 16.24358684\n",
      " 15.77715053 15.25546146]\n",
      "[5.68711677e-15 4.44089210e-16 2.84355838e-15 8.00575315e-11\n",
      " 7.88208038e-11 7.64276088e-11 9.27635001e-09 7.13833614e-09\n",
      " 5.48188970e-09 4.21476399e-09 3.25145980e-09 2.52049795e-09\n",
      " 1.96523866e-09 1.54215235e-09 1.21834606e-09 9.69197611e-10\n",
      " 7.76351202e-10 6.26141309e-10 5.08357018e-10 4.15380934e-10\n",
      " 3.41476541e-10 5.23304850e-09 4.34148893e-09 3.60975810e-09\n",
      " 2.99004830e-09 2.46627863e-09 2.02152220e-09 1.64403079e-09\n",
      " 1.32800831e-09 1.07587283e-09 4.44089210e-16 8.30416338e-10\n",
      " 8.74793835e-10 1.01578015e-09 1.21649579e-09 1.44234602e-09\n",
      " 1.66242085e-09 1.84771928e-09 1.97625166e-09 2.04074936e-09\n",
      " 2.05151110e-09 2.03664271e-09 4.89044051e-10 1.98776391e-09\n",
      " 9.12538515e-11 5.84030841e-11 2.95177235e-12 8.89209112e-11\n",
      " 1.94810215e-10 2.97648303e-10]\n",
      "4\n",
      "[-0.57002777-3.70552036e-11j -0.60228433-3.10208679e-11j\n",
      " -0.63105251-1.84169068e-11j -0.65622051-5.22145713e-12j\n",
      " -0.67776316+4.63377918e-12j -0.69573203+1.02432043e-11j\n",
      " -0.71024027-3.35418461e-10j -0.72144503-2.07115683e-11j\n",
      " -0.72953031-2.57441055e-10j -0.73469202-2.46823596e-10j\n",
      " -0.73712624-2.45341856e-10j -0.7370209 -2.46613577e-10j\n",
      " -0.7345504 -2.46735882e-10j -0.72987266-2.44169681e-10j\n",
      " -0.72312806-2.39377760e-10j -0.71443942-2.33833276e-10j\n",
      " -0.70391289-2.29027735e-10j -0.69163917-2.26007245e-10j\n",
      " -0.67769495-2.25327151e-10j -0.66214436-1.27781994e-16j\n",
      " -0.64504036-2.31568664e-10j -0.62642604-2.38385405e-10j\n",
      " -0.6063357 -2.47548038e-10j -0.58479589-2.59030975e-10j\n",
      " -0.56182628-2.72896476e-10j -0.53744032-2.89309456e-10j\n",
      " -0.51164595-3.08538683e-10j -0.48444606-2.48706263e-10j\n",
      " -0.455839  +3.57053887e-10j -0.42581894+8.67420473e-12j\n",
      " -0.39437626+1.16520332e-11j -0.36149791+1.54661688e-11j\n",
      " -0.32716779+2.03488496e-11j -0.29136719+2.66059114e-11j\n",
      " -0.25407533+3.46397163e-11j -0.21527003+4.49784020e-11j\n",
      " -0.17492872+5.83132638e-11j -0.13302969+7.55413309e-11j\n",
      " -0.0895539 +9.78113816e-11j -0.04448754+1.26561078e-10j\n",
      "  0.00217446+1.63518446e-10j  0.0504235 +2.10617461e-10j\n",
      "  0.1002304 +2.69724991e-10j  0.15153594+3.42009398e-10j\n",
      "  0.20423797+7.53395356e-12j  0.2581741 +1.14443763e-11j\n",
      "  0.31309948+1.67046157e-11j  0.36865947+5.97627877e-17j\n",
      "  0.42435935-7.38219775e-18j  0.4795367 -1.95238544e-16j]\n",
      "[3.88335677e-10 2.80849173e-10 1.98005963e-10 1.73513802e-10\n",
      " 1.79766861e-10 1.80112124e-10 2.31790195e-09 3.53420739e-10\n",
      " 2.31498324e-09 2.31991347e-09 2.30057583e-09 2.24216973e-09\n",
      " 2.14624470e-09 2.02629679e-09 1.90467430e-09 1.80432394e-09\n",
      " 1.74160729e-09 1.72416156e-09 1.75256906e-09 4.31132637e-15\n",
      " 1.93249471e-09 2.07605319e-09 2.25227666e-09 2.46119719e-09\n",
      " 2.70475315e-09 2.98673617e-09 3.31280121e-09 1.28505768e-09\n",
      " 4.12995310e-09 2.09033435e-10 2.43926520e-10 2.86107231e-10\n",
      " 3.37527545e-10 4.00744518e-10 4.79069285e-10 5.76824957e-10\n",
      " 6.99717093e-10 8.55242773e-10 1.05327755e-09 1.30677654e-09\n",
      " 1.63258057e-09 2.05220370e-09 2.59226254e-09 3.28380819e-09\n",
      " 6.08646839e-11 9.80407408e-11 1.51047328e-10 1.98602732e-15\n",
      " 1.98602732e-15 1.98602732e-15]\n",
      "[3.88336392e-10 2.80849270e-10 1.98007067e-10 1.73517542e-10\n",
      " 1.79769080e-10 1.80115463e-10 2.31789957e-09 3.53418780e-10\n",
      " 2.31498192e-09 2.31991205e-09 2.30057452e-09 2.24216840e-09\n",
      " 2.14624404e-09 2.02629662e-09 1.90467404e-09 1.80432410e-09\n",
      " 1.74159819e-09 1.72416182e-09 1.75256999e-09 2.44249065e-15\n",
      " 1.93249697e-09 2.07605417e-09 2.25227751e-09 2.46119970e-09\n",
      " 2.70475257e-09 2.98673727e-09 3.31280087e-09 1.28506507e-09\n",
      " 4.12995916e-09 2.09036512e-10 2.43925684e-10 2.86099325e-10\n",
      " 3.37530309e-10 4.00744417e-10 4.79061343e-10 5.76823765e-10\n",
      " 6.99716419e-10 8.55242223e-10 1.05327713e-09 1.30677589e-09\n",
      " 1.63257942e-09 2.05220438e-09 2.59226410e-09 3.28380904e-09\n",
      " 6.08639669e-11 9.80398546e-11 1.51046579e-10 2.66453526e-15\n",
      " 2.51214793e-15 1.77635684e-15]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "5\n",
      "[-0.57002777-3.70552036e-11j -0.60228433-3.10208679e-11j\n",
      " -0.63105251-1.84169068e-11j -0.65622051-5.22145713e-12j\n",
      " -0.67776316+4.63377918e-12j -0.69573203+1.02432043e-11j\n",
      " -0.71024027-3.35418461e-10j -0.72144503-2.07115683e-11j\n",
      " -0.72953031-2.57441055e-10j -0.73469202-2.46823596e-10j\n",
      " -0.73712624-2.45341856e-10j -0.7370209 -2.46613577e-10j\n",
      " -0.7345504 -2.46735882e-10j -0.72987266-2.44169681e-10j\n",
      " -0.72312806-2.39377760e-10j -0.71443942-2.33833276e-10j\n",
      " -0.70391289-2.29027735e-10j -0.69163917-2.26007245e-10j\n",
      " -0.67769495-2.25327151e-10j -0.66214436-1.27781994e-16j\n",
      " -0.64504036-2.31568664e-10j -0.62642604-2.38385405e-10j\n",
      " -0.6063357 -2.47548038e-10j -0.58479589-2.59030975e-10j\n",
      " -0.56182628-2.72896476e-10j -0.53744032-2.89309456e-10j\n",
      " -0.51164595-3.08538683e-10j -0.48444606-2.48706263e-10j\n",
      " -0.455839  +3.57053887e-10j -0.42581894+8.67420473e-12j\n",
      " -0.39437626+1.16520332e-11j -0.36149791+1.54661688e-11j\n",
      " -0.32716779+2.03488496e-11j -0.29136719+2.66059114e-11j\n",
      " -0.25407533+3.46397163e-11j -0.21527003+4.49784020e-11j\n",
      " -0.17492872+5.83132638e-11j -0.13302969+7.55413309e-11j\n",
      " -0.0895539 +9.78113816e-11j -0.04448754+1.26561078e-10j\n",
      "  0.00217446+1.63518446e-10j  0.0504235 +2.10617461e-10j\n",
      "  0.1002304 +2.69724991e-10j  0.15153594+3.42009398e-10j\n",
      "  0.20423797+7.53395356e-12j  0.2581741 +1.14443763e-11j\n",
      "  0.31309948+1.67046157e-11j  0.36865947+5.97627877e-17j\n",
      "  0.42435935-7.38219775e-18j  0.4795367 -1.95238544e-16j]\n",
      "[3.88336392e-10 2.80849270e-10 1.98007067e-10 1.73517542e-10\n",
      " 1.79769080e-10 1.80115463e-10 2.31789957e-09 3.53418780e-10\n",
      " 2.31498192e-09 2.31991205e-09 2.30057452e-09 2.24216840e-09\n",
      " 2.14624404e-09 2.02629662e-09 1.90467404e-09 1.80432410e-09\n",
      " 1.74159819e-09 1.72416404e-09 1.75257157e-09 8.21565038e-15\n",
      " 1.93249697e-09 2.07605417e-09 2.25227751e-09 2.46119970e-09\n",
      " 2.70475257e-09 2.98673727e-09 3.31280087e-09 1.28506507e-09\n",
      " 4.12995418e-09 2.09041564e-10 2.43925684e-10 2.86099325e-10\n",
      " 3.37535503e-10 4.00744417e-10 4.79061343e-10 5.76827340e-10\n",
      " 6.99718268e-10 8.55245693e-10 1.05327961e-09 1.30677923e-09\n",
      " 1.63258130e-09 2.05220793e-09 2.59226410e-09 3.28380904e-09\n",
      " 6.08639669e-11 9.80398546e-11 1.51046579e-10 2.66453526e-15\n",
      " 5.61733355e-15 5.32907052e-15]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "[3.88339648e-10 2.80853045e-10 1.98007371e-10 1.73514875e-10\n",
      " 1.79764820e-10 1.80110614e-10 2.31790476e-09 3.53423958e-10\n",
      " 2.31498720e-09 2.31991702e-09 2.30057939e-09 2.24217328e-09\n",
      " 2.14624867e-09 2.02630106e-09 1.90467770e-09 1.80432722e-09\n",
      " 1.74160894e-09 1.72416152e-09 1.75256807e-09 4.57756680e-15\n",
      " 1.93249716e-09 2.07605665e-09 2.25228000e-09 2.46120042e-09\n",
      " 2.70475468e-09 2.98673922e-09 3.31280254e-09 1.28505573e-09\n",
      " 4.12995522e-09 2.09030619e-10 2.43929864e-10 2.86109111e-10\n",
      " 3.37525228e-10 4.00748485e-10 4.79070842e-10 5.76823765e-10\n",
      " 6.99715918e-10 8.55242498e-10 1.05327734e-09 1.30677640e-09\n",
      " 1.63257948e-09 2.05220121e-09 2.59226607e-09 3.28381169e-09\n",
      " 6.08678740e-11 9.80433996e-11 1.51050121e-10 2.84355838e-15\n",
      " 2.66453526e-15 2.66453526e-15]\n",
      "6\n",
      "[ 0.4795367 -1.95238544e-16j  0.42435935-7.38219775e-18j\n",
      "  0.36865947+5.97627877e-17j  0.31309948+1.67046157e-11j\n",
      "  0.2581741 +1.14443763e-11j  0.20423797+7.53395356e-12j\n",
      "  0.15153594+3.42009398e-10j  0.1002304 +2.69724991e-10j\n",
      "  0.0504235 +2.10617461e-10j  0.00217446+1.63518446e-10j\n",
      " -0.04448754+1.26561078e-10j -0.0895539 +9.78113816e-11j\n",
      " -0.13302969+7.55413309e-11j -0.17492872+5.83132638e-11j\n",
      " -0.21527003+4.49784020e-11j -0.25407533+3.46397163e-11j\n",
      " -0.29136719+2.66059114e-11j -0.32716779+2.03488496e-11j\n",
      " -0.36149791+1.54661688e-11j -0.39437626+1.16520332e-11j\n",
      " -0.42581894+8.67420473e-12j -0.455839  +3.57053887e-10j\n",
      " -0.48444606-2.48706263e-10j -0.51164595-3.08538683e-10j\n",
      " -0.53744032-2.89309456e-10j -0.56182628-2.72896476e-10j\n",
      " -0.58479589-2.59030975e-10j -0.6063357 -2.47548038e-10j\n",
      " -0.62642604-2.38385405e-10j -0.64504036-2.31568664e-10j\n",
      " -0.66214436-1.27781994e-16j -0.67769495-2.25327151e-10j\n",
      " -0.69163917-2.26007245e-10j -0.70391289-2.29027735e-10j\n",
      " -0.71443942-2.33833276e-10j -0.72312806-2.39377760e-10j\n",
      " -0.72987266-2.44169681e-10j -0.7345504 -2.46735882e-10j\n",
      " -0.7370209 -2.46613577e-10j -0.73712624-2.45341856e-10j\n",
      " -0.73469202-2.46823596e-10j -0.72953031-2.57441055e-10j\n",
      " -0.72144503-2.07115683e-11j -0.71024027-3.35418461e-10j\n",
      " -0.69573203+1.02432043e-11j -0.67776316+4.63377918e-12j\n",
      " -0.65622051-5.22145713e-12j -0.63105251-1.84169068e-11j\n",
      " -0.60228433-3.10208679e-11j -0.57002777-3.70552036e-11j]\n",
      "[3.79429987e-15 4.44089210e-16 4.44089210e-16 8.00582102e-11\n",
      " 7.88208038e-11 7.64313701e-11 9.27634718e-09 7.13833652e-09\n",
      " 5.48189052e-09 4.21476620e-09 3.25146027e-09 2.52049969e-09\n",
      " 1.96524211e-09 1.54215160e-09 1.21834657e-09 9.69197472e-10\n",
      " 7.76351202e-10 6.26136312e-10 5.08358665e-10 4.15377839e-10\n",
      " 3.41477147e-10 5.23305100e-09 4.34149083e-09 3.60976017e-09\n",
      " 2.99005114e-09 2.46628070e-09 2.02152601e-09 1.64403323e-09\n",
      " 1.32800764e-09 1.07587261e-09 1.77635684e-15 8.30418352e-10\n",
      " 8.74794956e-10 1.01578035e-09 1.21649313e-09 1.44234979e-09\n",
      " 1.66242033e-09 1.84771933e-09 1.97625607e-09 2.04075092e-09\n",
      " 2.05150614e-09 2.03664372e-09 4.89045598e-10 1.98776560e-09\n",
      " 9.12549292e-11 5.84053034e-11 2.95692084e-12 8.89200004e-11\n",
      " 1.94805334e-10 2.97644956e-10]\n",
      "[4.18952923e-15 1.33226763e-15 4.44089210e-16 4.21126637e-10\n",
      " 2.81084287e-10 1.80877877e-10 1.58817565e-08 1.26708482e-08\n",
      " 1.00940935e-08 8.05128665e-09 6.44178228e-09 5.17643571e-09\n",
      " 4.18114827e-09 3.39644877e-09 2.77558823e-09 2.28222145e-09\n",
      " 1.88827830e-09 1.57212095e-09 1.31706804e-09 1.11025172e-09\n",
      " 9.41715177e-10 1.52447020e-08 2.26737017e-09 1.20375793e-08\n",
      " 1.07945420e-08 9.74073056e-09 8.84621094e-09 8.08615540e-09\n",
      " 7.43965683e-09 6.88863068e-09 4.18952923e-15 6.00732202e-09\n",
      " 5.64314204e-09 5.30326637e-09 4.96191146e-09 4.58689403e-09\n",
      " 4.14018058e-09 3.58329122e-09 2.89139460e-09 2.08835269e-09\n",
      " 1.42608515e-09 1.80278887e-09 5.78902425e-10 5.22432431e-09\n",
      " 5.10934108e-10 6.44042650e-10 7.67625552e-10 8.61025187e-10\n",
      " 9.03363641e-10 8.95069591e-10]\n",
      "[13.80149125 12.92364833 12.04573048 11.1795061  10.33368774  9.51440428\n",
      "  8.72573474  7.97019837  7.24916152  6.56315664  5.91212399  5.29559098\n",
      "  4.71280342  4.16282063  3.6445842   3.15696725  2.69880979  2.26894405\n",
      "  1.86621253  1.48948111  1.13764848  0.80965321  0.50447919  0.22116024\n",
      "  0.04121596  0.28350383  0.50649562  0.71091659  0.89741936  1.06657699\n",
      "  1.21887473  1.35469982  1.47432922  1.57791473  1.66546518  1.73682534\n",
      "  1.79165143  1.82938329  1.84921393  1.85005799  1.8305219   1.78888049\n",
      "  1.72306669  1.63068376  1.50905047  1.35529006  1.16647001  0.93979171\n",
      "  0.67281789  0.36371174]\n",
      "7\n",
      "[ 0.4795367 -1.95238544e-16j  0.42435935-7.38219775e-18j\n",
      "  0.36865947+5.97627877e-17j  0.31309948+1.67046157e-11j\n",
      "  0.2581741 +1.14443763e-11j  0.20423797+7.53395356e-12j\n",
      "  0.15153594+3.42009398e-10j  0.1002304 +2.69724991e-10j\n",
      "  0.0504235 +2.10617461e-10j  0.00217446+1.63518446e-10j\n",
      " -0.04448754+1.26561078e-10j -0.0895539 +9.78113816e-11j\n",
      " -0.13302969+7.55413309e-11j -0.17492872+5.83132638e-11j\n",
      " -0.21527003+4.49784020e-11j -0.25407533+3.46397163e-11j\n",
      " -0.29136719+2.66059114e-11j -0.32716779+2.03488496e-11j\n",
      " -0.36149791+1.54661688e-11j -0.39437626+1.16520332e-11j\n",
      " -0.42581894+8.67420473e-12j -0.455839  +3.57053887e-10j\n",
      " -0.48444606-2.48706263e-10j -0.51164595-3.08538683e-10j\n",
      " -0.53744032-2.89309456e-10j -0.56182628-2.72896476e-10j\n",
      " -0.58479589-2.59030975e-10j -0.6063357 -2.47548038e-10j\n",
      " -0.62642604-2.38385405e-10j -0.64504036-2.31568664e-10j\n",
      " -0.66214436-1.27781994e-16j -0.67769495-2.25327151e-10j\n",
      " -0.69163917-2.26007245e-10j -0.70391289-2.29027735e-10j\n",
      " -0.71443942-2.33833276e-10j -0.72312806-2.39377760e-10j\n",
      " -0.72987266-2.44169681e-10j -0.7345504 -2.46735882e-10j\n",
      " -0.7370209 -2.46613577e-10j -0.73712624-2.45341856e-10j\n",
      " -0.73469202-2.46823596e-10j -0.72953031-2.57441055e-10j\n",
      " -0.72144503-2.07115683e-11j -0.71024027-3.35418461e-10j\n",
      " -0.69573203+1.02432043e-11j -0.67776316+4.63377918e-12j\n",
      " -0.65622051-5.22145713e-12j -0.63105251-1.84169068e-11j\n",
      " -0.60228433-3.10208679e-11j -0.57002777-3.70552036e-11j]\n",
      "[2.22044605e-15 1.33226763e-15 4.44089210e-16 4.21126637e-10\n",
      " 2.81084287e-10 1.80877877e-10 1.58817565e-08 1.26708482e-08\n",
      " 1.00940935e-08 8.05128665e-09 6.44178228e-09 5.17643571e-09\n",
      " 4.18114827e-09 3.39644877e-09 2.77558823e-09 2.28222145e-09\n",
      " 1.88827830e-09 1.57212095e-09 1.31706804e-09 1.11025172e-09\n",
      " 9.41715177e-10 1.52447021e-08 2.26737234e-09 1.20375811e-08\n",
      " 1.07945404e-08 9.74072915e-09 8.84621141e-09 8.08615612e-09\n",
      " 7.43965531e-09 6.88863138e-09 2.66453526e-15 6.00732350e-09\n",
      " 5.64314477e-09 5.30326859e-09 4.96191397e-09 4.58689687e-09\n",
      " 4.14018342e-09 3.58329000e-09 2.89139801e-09 2.08834928e-09\n",
      " 1.42608359e-09 1.80278857e-09 5.78902287e-10 5.22432431e-09\n",
      " 5.10934108e-10 6.44042650e-10 7.67625552e-10 8.61025187e-10\n",
      " 9.03363641e-10 8.95069591e-10]\n",
      "[ 0.55633131  1.15379459  1.78339628  2.43667926  3.10610339  3.78517776\n",
      "  4.46844051  5.15136142  5.83021531  6.50195346  7.16408565  7.81457796\n",
      "  8.45176664  9.07428703  9.68101526 10.27102059 10.8435265  11.39787859\n",
      " 11.93351803 12.44995919 12.94677044 13.42355747 13.87994824 14.31557905\n",
      " 14.73008121 15.12306795 15.49412094 15.84277625 16.16850927 16.47071827\n",
      " 16.74870627 17.00166097 17.22863266 17.42851001 17.59999421 17.74157217\n",
      " 17.85149037 17.92773183 17.9680003  17.96971733 17.9300402  17.84591065\n",
      " 17.71414571 17.5315813  17.2952757  17.00277103 16.65239731 16.24358684\n",
      " 15.77715053 15.25546146]\n",
      "[3.58036167e-15 3.58036167e-15 1.83102672e-15 8.00588890e-11\n",
      " 7.88228677e-11 7.64296509e-11 9.27634787e-09 7.13833789e-09\n",
      " 5.48189227e-09 4.21476887e-09 3.25146239e-09 2.52049915e-09\n",
      " 1.96523939e-09 1.54215088e-09 1.21834443e-09 9.69198520e-10\n",
      " 7.76354499e-10 6.26140751e-10 5.08360882e-10 4.15379759e-10\n",
      " 3.41478358e-10 5.23305023e-09 4.34148958e-09 3.60976196e-09\n",
      " 2.99005114e-09 2.46627858e-09 2.02152601e-09 1.64403323e-09\n",
      " 1.32800884e-09 1.07587219e-09 2.22044605e-15 8.30416176e-10\n",
      " 8.74792944e-10 1.01578001e-09 1.21649151e-09 1.44234979e-09\n",
      " 1.66242033e-09 1.84771813e-09 1.97625530e-09 2.04075197e-09\n",
      " 2.05150614e-09 2.03664620e-09 4.89045156e-10 1.98776690e-09\n",
      " 9.12549292e-11 5.84035279e-11 2.95732539e-12 8.89208999e-11\n",
      " 1.94805256e-10 2.97648623e-10]\n",
      "8\n",
      "[-0.57002777-3.38869247e-12j -0.60228433+8.71643998e-13j\n",
      " -0.63105251+2.26626683e-11j -0.65622051+6.60430952e-12j\n",
      " -0.67776316+2.17155413e-12j -0.69573203+7.83686655e-13j\n",
      " -0.71024027+2.32453748e-13j -0.72144503-4.47252564e-11j\n",
      " -0.72953031-4.69218697e-12j -0.73469202+2.04060835e-11j\n",
      " -0.73712624-3.21929314e-13j -0.7370209 +2.11797145e-11j\n",
      " -0.7345504 -2.34255735e-12j -0.72987266+1.35132089e-11j\n",
      " -0.72312806-4.40604693e-11j -0.71443942+1.05044463e-10j\n",
      " -0.70391289-3.12646232e-13j -0.69163917+8.46319944e-12j\n",
      " -0.67769495+1.82512753e-13j -0.66214436-9.77925362e-17j\n",
      " -0.64504036-1.83872709e-12j -0.62642604+2.57374524e-12j\n",
      " -0.6063357 -3.56615700e-12j -0.58479589+4.90170536e-12j\n",
      " -0.56182628-6.67151156e-12j -0.53744032+8.95797400e-12j\n",
      " -0.51164595-1.18254408e-11j -0.48444606+1.53140849e-11j\n",
      " -0.455839  -1.94577930e-11j -0.42581894+2.43564866e-11j\n",
      " -0.39437626-3.03728057e-11j -0.36149791-3.20358384e-11j\n",
      " -0.32716779+6.14000522e-13j -0.29136719-2.05572061e-12j\n",
      " -0.25407533+4.11308854e-12j -0.21527003-5.61113614e-12j\n",
      " -0.17492872+1.48450157e-11j -0.13302969+6.64598594e-12j\n",
      " -0.0895539 +2.16676439e-11j -0.04448754+3.42415264e-11j\n",
      "  0.00217446+3.99432509e-11j  0.0504235 +1.78831448e-11j\n",
      "  0.1002304 +1.55748537e-11j  0.15153594+1.50528211e-11j\n",
      "  0.20423797+1.51704309e-11j  0.2581741 +1.54562204e-11j\n",
      "  0.31309948+1.58973149e-11j  0.36865947+9.22715603e-17j\n",
      "  0.42435935-4.59560405e-17j  0.4795367 -1.46607876e-16j]\n",
      "[4.24523547e-11 1.87673477e-11 4.66324887e-10 2.51040379e-10\n",
      " 1.04972794e-10 3.31749076e-11 7.44562978e-12 2.95195367e-10\n",
      " 3.32461680e-11 3.13297268e-10 7.77505727e-12 3.25012425e-10\n",
      " 2.12130669e-11 1.28542671e-10 4.38433293e-10 1.08965737e-09\n",
      " 1.04508206e-12 3.55566829e-10 5.21548534e-12 8.88178420e-16\n",
      " 1.65592921e-11 3.41900457e-11 6.23962936e-11 1.03981662e-10\n",
      " 1.61044142e-10 2.34109122e-10 3.21091675e-10 4.16317917e-10\n",
      " 5.10311120e-10 5.91781991e-10 6.54852917e-10 8.35107115e-10\n",
      " 1.56305063e-11 2.10579482e-11 3.08214049e-11 4.59245974e-11\n",
      " 1.60779662e-11 7.77862216e-11 9.99341686e-11 1.26021781e-10\n",
      " 1.41984225e-10 2.55678459e-10 3.32134003e-10 4.25660406e-10\n",
      " 5.40170262e-10 6.70662798e-10 8.03861025e-10 2.22044605e-15\n",
      " 4.44089210e-15 4.18952923e-15]\n",
      "[6.09312450e-11 3.61522273e-11 8.08663887e-10 3.76311323e-10\n",
      " 1.46252508e-10 4.55427079e-11 1.05781680e-11 6.93562155e-11\n",
      " 6.67752859e-12 6.74201898e-11 3.65510290e-12 6.89516079e-11\n",
      " 2.32259702e-12 1.17250176e-11 3.24192037e-11 6.38113679e-11\n",
      " 1.50024963e-11 1.82083074e-10 4.36400300e-12 1.83102672e-15\n",
      " 1.20087094e-10 1.67644844e-10 2.23293412e-10 2.85961234e-10\n",
      " 3.54179700e-10 4.26000322e-10 4.98622560e-10 5.67546410e-10\n",
      " 6.25162015e-10 6.59117609e-10 6.51642453e-10 5.90342270e-10\n",
      " 5.55629320e-12 8.13287797e-12 1.38550861e-11 2.14848070e-11\n",
      " 3.20558584e-11 3.99767955e-11 8.23769658e-11 1.29929715e-10\n",
      " 1.61677746e-10 4.61422282e-10 5.84594440e-10 7.14632400e-10\n",
      " 8.53994328e-10 9.99715863e-10 1.14096460e-09 1.33226763e-15\n",
      " 1.33226763e-15 8.88178420e-16]\n",
      "[ 0.36371174  0.67281789  0.93979171  1.16647001  1.35529007  1.50905047\n",
      "  1.63068376  1.72306669  1.78888049  1.83052191  1.85005799  1.84921393\n",
      "  1.82938329  1.79165144  1.73682535  1.66546518  1.57791473  1.47432922\n",
      "  1.35469982  1.21887473  1.066577    0.89741936  0.7109166   0.50649562\n",
      "  0.28350384  0.04121597  0.22116023  0.50447919  0.8096532   1.13764848\n",
      "  1.48948111  1.86621254  2.26894405  2.69880979  3.15696725  3.6445842\n",
      "  4.16282063  4.71280341  5.29559098  5.91212398  6.56315663  7.24916152\n",
      "  7.97019837  8.72573473  9.51440428 10.33368774 11.1795061  12.04573048\n",
      " 12.92364833 13.80149125]\n",
      "9\n",
      "[-0.57002777-3.38869247e-12j -0.60228433+8.71643998e-13j\n",
      " -0.63105251+2.26626683e-11j -0.65622051+6.60430952e-12j\n",
      " -0.67776316+2.17155413e-12j -0.69573203+7.83686655e-13j\n",
      " -0.71024027+2.32453748e-13j -0.72144503-4.47252564e-11j\n",
      " -0.72953031-4.69218697e-12j -0.73469202+2.04060835e-11j\n",
      " -0.73712624-3.21929314e-13j -0.7370209 +2.11797145e-11j\n",
      " -0.7345504 -2.34255735e-12j -0.72987266+1.35132089e-11j\n",
      " -0.72312806-4.40604693e-11j -0.71443942+1.05044463e-10j\n",
      " -0.70391289-3.12646232e-13j -0.69163917+8.46319944e-12j\n",
      " -0.67769495+1.82512753e-13j -0.66214436-9.77925362e-17j\n",
      " -0.64504036-1.83872709e-12j -0.62642604+2.57374524e-12j\n",
      " -0.6063357 -3.56615700e-12j -0.58479589+4.90170536e-12j\n",
      " -0.56182628-6.67151156e-12j -0.53744032+8.95797400e-12j\n",
      " -0.51164595-1.18254408e-11j -0.48444606+1.53140849e-11j\n",
      " -0.455839  -1.94577930e-11j -0.42581894+2.43564866e-11j\n",
      " -0.39437626-3.03728057e-11j -0.36149791-3.20358384e-11j\n",
      " -0.32716779+6.14000522e-13j -0.29136719-2.05572061e-12j\n",
      " -0.25407533+4.11308854e-12j -0.21527003-5.61113614e-12j\n",
      " -0.17492872+1.48450157e-11j -0.13302969+6.64598594e-12j\n",
      " -0.0895539 +2.16676439e-11j -0.04448754+3.42415264e-11j\n",
      "  0.00217446+3.99432509e-11j  0.0504235 +1.78831448e-11j\n",
      "  0.1002304 +1.55748537e-11j  0.15153594+1.50528211e-11j\n",
      "  0.20423797+1.51704309e-11j  0.2581741 +1.54562204e-11j\n",
      "  0.31309948+1.58973149e-11j  0.36865947+9.22715603e-17j\n",
      "  0.42435935-4.59560405e-17j  0.4795367 -1.46607876e-16j]\n",
      "[6.09318575e-11 3.61522273e-11 8.08664247e-10 3.76310688e-10\n",
      " 1.46251068e-10 4.55432652e-11 1.05805847e-11 6.93550202e-11\n",
      " 6.67521525e-12 6.74239596e-11 3.65467656e-12 6.89516079e-11\n",
      " 2.32037680e-12 1.17250176e-11 3.24209642e-11 6.38113679e-11\n",
      " 1.50006147e-11 1.82083074e-10 4.36400300e-12 1.83102672e-15\n",
      " 1.20088802e-10 1.67644844e-10 2.23289680e-10 2.85961234e-10\n",
      " 3.54180851e-10 4.26000322e-10 4.98620374e-10 5.67546410e-10\n",
      " 6.25164062e-10 6.59117609e-10 6.51639637e-10 5.90342270e-10\n",
      " 5.55629320e-12 8.13309363e-12 1.38550861e-11 2.14854490e-11\n",
      " 3.20558584e-11 3.99767955e-11 8.23769658e-11 1.29929715e-10\n",
      " 1.61677746e-10 4.61422282e-10 5.84594440e-10 7.14632400e-10\n",
      " 8.53994328e-10 9.99715863e-10 1.14096460e-09 1.33226763e-15\n",
      " 1.33226763e-15 2.22044605e-15]\n",
      "[15.25546146 15.77715053 16.24358684 16.65239731 17.00277103 17.2952757\n",
      " 17.5315813  17.71414571 17.84591065 17.9300402  17.96971732 17.9680003\n",
      " 17.92773183 17.85149037 17.74157217 17.59999421 17.42851001 17.22863266\n",
      " 17.00166097 16.74870627 16.47071827 16.16850927 15.84277625 15.49412094\n",
      " 15.12306795 14.73008122 14.31557905 13.87994825 13.42355747 12.94677044\n",
      " 12.44995919 11.93351803 11.39787859 10.8435265  10.27102059  9.68101526\n",
      "  9.07428704  8.45176664  7.81457796  7.16408566  6.50195346  5.83021532\n",
      "  5.15136142  4.46844052  3.78517776  3.10610339  2.43667926  1.78339628\n",
      "  1.15379459  0.55633131]\n",
      "[4.24516025e-11 1.87688063e-11 4.66327072e-10 2.51042562e-10\n",
      " 1.04972794e-10 3.31762231e-11 7.44669806e-12 2.95195367e-10\n",
      " 3.32482195e-11 3.13296361e-10 7.77505727e-12 3.25012425e-10\n",
      " 2.12131657e-11 1.28542671e-10 4.38433293e-10 1.08965850e-09\n",
      " 1.04508206e-12 3.55567636e-10 5.21405192e-12 3.97205465e-15\n",
      " 1.65573406e-11 3.41885770e-11 6.23957220e-11 1.03980157e-10\n",
      " 1.61044142e-10 2.34109332e-10 3.21090462e-10 4.16317917e-10\n",
      " 5.10311843e-10 5.91781991e-10 6.54856134e-10 8.35107115e-10\n",
      " 1.56305063e-11 2.10548179e-11 3.08201845e-11 4.59254290e-11\n",
      " 1.60798962e-11 7.77862216e-11 9.99340607e-11 1.26022307e-10\n",
      " 1.41983407e-10 2.55677408e-10 3.32135220e-10 4.25660423e-10\n",
      " 5.40167139e-10 6.70667388e-10 8.03861025e-10 4.44089210e-16\n",
      " 4.18952923e-15 7.10542736e-15]\n",
      "10\n",
      "[ 0.4795367 -1.46607876e-16j  0.42435935-4.59560405e-17j\n",
      "  0.36865947+9.22715603e-17j  0.31309948+1.58973149e-11j\n",
      "  0.2581741 +1.54562204e-11j  0.20423797+1.51704309e-11j\n",
      "  0.15153594+1.50528211e-11j  0.1002304 +1.55748537e-11j\n",
      "  0.0504235 +1.78831448e-11j  0.00217446+3.99432509e-11j\n",
      " -0.04448754+3.42415264e-11j -0.0895539 +2.16676439e-11j\n",
      " -0.13302969+6.64598594e-12j -0.17492872+1.48450157e-11j\n",
      " -0.21527003-5.61113614e-12j -0.25407533+4.11308854e-12j\n",
      " -0.29136719-2.05572061e-12j -0.32716779+6.14000522e-13j\n",
      " -0.36149791-3.20358384e-11j -0.39437626-3.03728057e-11j\n",
      " -0.42581894+2.43564866e-11j -0.455839  -1.94577930e-11j\n",
      " -0.48444606+1.53140849e-11j -0.51164595-1.18254408e-11j\n",
      " -0.53744032+8.95797400e-12j -0.56182628-6.67151156e-12j\n",
      " -0.58479589+4.90170536e-12j -0.6063357 -3.56615700e-12j\n",
      " -0.62642604+2.57374524e-12j -0.64504036-1.83872709e-12j\n",
      " -0.66214436-9.77925362e-17j -0.67769495+1.82512753e-13j\n",
      " -0.69163917+8.46319944e-12j -0.70391289-3.12646232e-13j\n",
      " -0.71443942+1.05044463e-10j -0.72312806-4.40604693e-11j\n",
      " -0.72987266+1.35132089e-11j -0.7345504 -2.34255735e-12j\n",
      " -0.7370209 +2.11797145e-11j -0.73712624-3.21929314e-13j\n",
      " -0.73469202+2.04060835e-11j -0.72953031-4.69218697e-12j\n",
      " -0.72144503-4.47252564e-11j -0.71024027+2.32453748e-13j\n",
      " -0.69573203+7.83686655e-13j -0.67776316+2.17155413e-12j\n",
      " -0.65622051+6.60430952e-12j -0.63105251+2.26626683e-11j\n",
      " -0.60228433+8.71643998e-13j -0.57002777-3.38869247e-12j]\n",
      "[2.22044605e-15 8.88178420e-16 8.88178420e-16 1.35262883e-09\n",
      " 1.23991380e-09 1.10498420e-09 9.61517748e-10 8.15996786e-10\n",
      " 6.66710674e-10 1.92880566e-10 1.93009922e-10 1.66025774e-10\n",
      " 1.30271532e-10 1.17439952e-10 8.88442062e-11 6.61262663e-11\n",
      " 4.67587275e-11 3.37103972e-11 1.07490865e-09 9.49193419e-10\n",
      " 8.82360752e-10 7.71773536e-10 6.36618464e-10 4.99780306e-10\n",
      " 3.76260140e-10 2.73040106e-10 1.91579295e-10 1.30201657e-10\n",
      " 8.57781887e-11 5.47677788e-11 2.88657986e-15 1.06930492e-11\n",
      " 1.94890661e-10 5.82897643e-12 1.40341858e-09 5.61406153e-10\n",
      " 1.63877759e-10 2.69740694e-11 3.44273926e-10 8.15645148e-12\n",
      " 3.31842898e-10 4.28540591e-11 3.85728152e-10 1.06575069e-11\n",
      " 4.78991068e-11 1.56639054e-10 4.01405811e-10 8.47176167e-10\n",
      " 3.05615152e-11 5.31837368e-11]\n",
      "[4.44089210e-16 5.02429587e-15 1.98602732e-15 1.35263056e-09\n",
      " 1.23991471e-09 1.10498751e-09 9.61520536e-10 8.15993710e-10\n",
      " 6.66709364e-10 1.92882328e-10 1.93017036e-10 1.66025339e-10\n",
      " 1.30270479e-10 1.17441015e-10 8.88405489e-11 6.61265669e-11\n",
      " 4.67566685e-11 3.37069912e-11 1.07490540e-09 9.49194610e-10\n",
      " 8.82362676e-10 7.71775663e-10 6.36620441e-10 4.99781401e-10\n",
      " 3.76262125e-10 2.73042835e-10 1.91579703e-10 1.30202830e-10\n",
      " 8.57819548e-11 5.47702792e-11 4.31132637e-15 1.06895813e-11\n",
      " 1.94893908e-10 5.83005616e-12 1.40341996e-09 5.61399588e-10\n",
      " 1.63879509e-10 2.69692337e-11 3.44280331e-10 8.16027623e-12\n",
      " 3.31849291e-10 4.28523779e-11 3.85726242e-10 1.06620584e-11\n",
      " 4.79036088e-11 1.56645223e-10 4.01405016e-10 8.47178305e-10\n",
      " 3.05634509e-11 5.31866727e-11]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252 13.41389634 13.69523257 13.95905617 14.20512647 14.43311825\n",
      " 14.64261119 14.83307774 15.0038692  15.15420006 15.28313103 15.38955114\n",
      " 15.47216032 15.52945407 15.55971332 15.56100353 15.53118869 15.46796712\n",
      " 15.36893705 15.23169902 15.0539994  14.83391328 14.57005483 14.2617923\n",
      " 13.9094342  13.51434983]\n",
      "11\n",
      "[ 0.4795367 -1.46607876e-16j  0.42435935-4.59560405e-17j\n",
      "  0.36865947+9.22715603e-17j  0.31309948+1.58973149e-11j\n",
      "  0.2581741 +1.54562204e-11j  0.20423797+1.51704309e-11j\n",
      "  0.15153594+1.50528211e-11j  0.1002304 +1.55748537e-11j\n",
      "  0.0504235 +1.78831448e-11j  0.00217446+3.99432509e-11j\n",
      " -0.04448754+3.42415264e-11j -0.0895539 +2.16676439e-11j\n",
      " -0.13302969+6.64598594e-12j -0.17492872+1.48450157e-11j\n",
      " -0.21527003-5.61113614e-12j -0.25407533+4.11308854e-12j\n",
      " -0.29136719-2.05572061e-12j -0.32716779+6.14000522e-13j\n",
      " -0.36149791-3.20358384e-11j -0.39437626-3.03728057e-11j\n",
      " -0.42581894+2.43564866e-11j -0.455839  -1.94577930e-11j\n",
      " -0.48444606+1.53140849e-11j -0.51164595-1.18254408e-11j\n",
      " -0.53744032+8.95797400e-12j -0.56182628-6.67151156e-12j\n",
      " -0.58479589+4.90170536e-12j -0.6063357 -3.56615700e-12j\n",
      " -0.62642604+2.57374524e-12j -0.64504036-1.83872709e-12j\n",
      " -0.66214436-9.77925362e-17j -0.67769495+1.82512753e-13j\n",
      " -0.69163917+8.46319944e-12j -0.70391289-3.12646232e-13j\n",
      " -0.71443942+1.05044463e-10j -0.72312806-4.40604693e-11j\n",
      " -0.72987266+1.35132089e-11j -0.7345504 -2.34255735e-12j\n",
      " -0.7370209 +2.11797145e-11j -0.73712624-3.21929314e-13j\n",
      " -0.73469202+2.04060835e-11j -0.72953031-4.69218697e-12j\n",
      " -0.72144503-4.47252564e-11j -0.71024027+2.32453748e-13j\n",
      " -0.69573203+7.83686655e-13j -0.67776316+2.17155413e-12j\n",
      " -0.65622051+6.60430952e-12j -0.63105251+2.26626683e-11j\n",
      " -0.60228433+8.71643998e-13j -0.57002777-3.38869247e-12j]\n",
      "[4.44089210e-16 7.75568463e-15 1.98602732e-15 1.35262701e-09\n",
      " 1.23991687e-09 1.10498751e-09 9.61519663e-10 8.15994961e-10\n",
      " 6.66708775e-10 1.92878873e-10 1.93017036e-10 1.66025339e-10\n",
      " 1.30270479e-10 1.17441015e-10 8.88405489e-11 6.61265669e-11\n",
      " 4.67566685e-11 3.37069912e-11 1.07490540e-09 9.49194610e-10\n",
      " 8.82362676e-10 7.71775663e-10 6.36620441e-10 4.99781401e-10\n",
      " 3.76262125e-10 2.73042835e-10 1.91579703e-10 1.30202830e-10\n",
      " 8.57819548e-11 5.47702792e-11 8.54511191e-15 1.06930078e-11\n",
      " 1.94888917e-10 5.83143013e-12 1.40341616e-09 5.61406360e-10\n",
      " 1.63876209e-10 2.69756192e-11 3.44274166e-10 8.15887147e-12\n",
      " 3.31842968e-10 4.28556632e-11 3.85730475e-10 1.06567498e-11\n",
      " 4.78985390e-11 1.56641879e-10 4.01405016e-10 8.47178305e-10\n",
      " 3.05634509e-11 5.31866727e-11]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252 13.41389634 13.69523257 13.95905617 14.20512647 14.43311825\n",
      " 14.64261119 14.83307774 15.0038692  15.15420006 15.28313103 15.38955114\n",
      " 15.47216032 15.52945407 15.55971332 15.56100353 15.53118869 15.46796712\n",
      " 15.36893705 15.23169902 15.0539994  14.83391328 14.57005483 14.2617923\n",
      " 13.9094342  13.51434983]\n",
      "[1.33226763e-15 8.88178420e-16 1.33226763e-15 1.35263125e-09\n",
      " 1.23991255e-09 1.10498224e-09 9.61519870e-10 8.15995248e-10\n",
      " 6.66710895e-10 1.92881447e-10 1.93009106e-10 1.66021899e-10\n",
      " 1.30270227e-10 1.17436860e-10 8.88417143e-11 6.61250637e-11\n",
      " 4.67578097e-11 3.37083266e-11 1.07490608e-09 9.49198415e-10\n",
      " 8.82358423e-10 7.71777040e-10 6.36618085e-10 4.99782081e-10\n",
      " 3.76258438e-10 2.73043334e-10 1.91577664e-10 1.30203487e-10\n",
      " 8.57765459e-11 5.47710242e-11 4.66293670e-15 1.06930805e-11\n",
      " 1.94891969e-10 5.82825847e-12 1.40341974e-09 5.61404124e-10\n",
      " 1.63878921e-10 2.69729070e-11 3.44274668e-10 8.15600334e-12\n",
      " 3.31843705e-10 4.28528561e-11 3.85726922e-10 1.06579613e-11\n",
      " 4.78995327e-11 1.56641156e-10 4.01408747e-10 8.47176537e-10\n",
      " 3.05606781e-11 5.31867455e-11]\n",
      "12\n",
      "[ 0.57002777+3.38849423e-12j  0.60228433-8.71832954e-13j\n",
      "  0.63105251-2.26627565e-11j  0.65622051-6.60406596e-12j\n",
      "  0.67776316-2.17144762e-12j  0.69573203-7.83642163e-13j\n",
      "  0.71024027-2.32469511e-13j  0.72144503+4.47252751e-11j\n",
      "  0.72953031+4.69242014e-12j  0.73469202-2.04060914e-11j\n",
      "  0.73712624+3.22174059e-13j  0.7370209 -2.11794539e-11j\n",
      "  0.7345504 +2.34250349e-12j  0.72987266-1.35130761e-11j\n",
      "  0.72312806+4.40604999e-11j  0.71443942-1.05044298e-10j\n",
      "  0.70391289+3.12832887e-13j  0.69163917-8.46325022e-12j\n",
      "  0.67769495-1.82530745e-13j  0.66214436+2.91787854e-17j\n",
      "  0.64504036+1.83871615e-12j  0.62642604-2.57377800e-12j\n",
      "  0.6063357 +3.56608547e-12j  0.58479589-4.90181522e-12j\n",
      "  0.56182628+6.67160006e-12j  0.53744032-8.95821943e-12j\n",
      "  0.51164595+1.18253868e-11j  0.48444606-1.53143152e-11j\n",
      "  0.455839  +1.94579276e-11j  0.42581894-2.43567047e-11j\n",
      "  0.39437626+3.03727025e-11j  0.36149791+3.20358307e-11j\n",
      "  0.32716779-6.14269357e-13j  0.29136719+2.05564277e-12j\n",
      "  0.25407533-4.11307379e-12j  0.21527003+5.61099742e-12j\n",
      "  0.17492872-1.48450531e-11j  0.13302969-6.64589279e-12j\n",
      "  0.0895539 -2.16676840e-11j  0.04448754-3.42414392e-11j\n",
      " -0.00217446-3.99431821e-11j -0.0504235 -1.78828845e-11j\n",
      " -0.1002304 -1.55749338e-11j -0.15153594-1.50529742e-11j\n",
      " -0.20423797-1.51700764e-11j -0.2581741 -1.54560843e-11j\n",
      " -0.31309948-1.58973820e-11j -0.36865947-7.24070283e-17j\n",
      " -0.42435935+3.28458804e-16j -0.4795367 +3.62643670e-16j]\n",
      "[4.24519701e-11 1.87647952e-11 4.66326321e-10 2.51041473e-10\n",
      " 1.04969988e-10 3.31744069e-11 7.44763937e-12 2.95197259e-10\n",
      " 3.32441436e-11 3.13301384e-10 7.77363661e-12 3.25012749e-10\n",
      " 2.12135635e-11 1.28542807e-10 4.38432602e-10 1.08965666e-09\n",
      " 1.04942370e-12 3.55565499e-10 5.21076529e-12 2.51214793e-15\n",
      " 1.65600301e-11 3.41907689e-11 6.23942341e-11 1.03982204e-10\n",
      " 1.61045553e-10 2.34107606e-10 3.21087241e-10 4.16318039e-10\n",
      " 5.10310686e-10 5.91777292e-10 6.54852189e-10 8.35107115e-10\n",
      " 1.56315226e-11 2.10566592e-11 3.08189643e-11 4.59294366e-11\n",
      " 1.60814290e-11 7.77898361e-11 9.99377500e-11 1.26020245e-10\n",
      " 1.41987992e-10 2.55678009e-10 3.32135677e-10 4.25663975e-10\n",
      " 5.40172091e-10 6.70662639e-10 8.03863685e-10 1.33226763e-15\n",
      " 1.83102672e-15 3.97205465e-15]\n",
      "[6.09338795e-11 3.61494167e-11 8.08662354e-10 3.76310964e-10\n",
      " 1.46251437e-10 4.55409205e-11 1.05784318e-11 6.93517194e-11\n",
      " 6.67265212e-12 6.74243092e-11 3.66072045e-12 6.89528554e-11\n",
      " 2.32272773e-12 1.17206596e-11 3.24218182e-11 6.38109248e-11\n",
      " 1.50067452e-11 1.82078905e-10 4.36924169e-12 4.44089210e-16\n",
      " 1.20089022e-10 1.67645887e-10 2.23291040e-10 2.85957104e-10\n",
      " 3.54177869e-10 4.25999643e-10 4.98624650e-10 5.67548885e-10\n",
      " 6.25160520e-10 6.59116357e-10 6.51644077e-10 5.90338529e-10\n",
      " 5.55585249e-12 8.13293650e-12 1.38592066e-11 2.14793413e-11\n",
      " 3.20553923e-11 3.99755536e-11 8.23769658e-11 1.29926618e-10\n",
      " 1.61674904e-10 4.61418931e-10 5.84594314e-10 7.14633747e-10\n",
      " 8.53999116e-10 9.99715497e-10 1.14096284e-09 0.00000000e+00\n",
      " 2.51214793e-15 3.79429987e-15]\n",
      "[ 0.36371174  0.67281789  0.93979171  1.16647001  1.35529007  1.50905047\n",
      "  1.63068376  1.72306669  1.78888049  1.83052191  1.85005799  1.84921393\n",
      "  1.82938329  1.79165144  1.73682535  1.66546518  1.57791473  1.47432922\n",
      "  1.35469982  1.21887473  1.066577    0.89741936  0.7109166   0.50649562\n",
      "  0.28350384  0.04121597  0.22116023  0.50447919  0.8096532   1.13764848\n",
      "  1.48948111  1.86621254  2.26894405  2.69880979  3.15696725  3.6445842\n",
      "  4.16282063  4.71280341  5.29559098  5.91212398  6.56315663  7.24916152\n",
      "  7.97019837  8.72573473  9.51440428 10.33368774 11.1795061  12.04573048\n",
      " 12.92364833 13.80149125]\n",
      "13\n",
      "[ 0.57002777+3.38849423e-12j  0.60228433-8.71832954e-13j\n",
      "  0.63105251-2.26627565e-11j  0.65622051-6.60406596e-12j\n",
      "  0.67776316-2.17144762e-12j  0.69573203-7.83642163e-13j\n",
      "  0.71024027-2.32469511e-13j  0.72144503+4.47252751e-11j\n",
      "  0.72953031+4.69242014e-12j  0.73469202-2.04060914e-11j\n",
      "  0.73712624+3.22174059e-13j  0.7370209 -2.11794539e-11j\n",
      "  0.7345504 +2.34250349e-12j  0.72987266-1.35130761e-11j\n",
      "  0.72312806+4.40604999e-11j  0.71443942-1.05044298e-10j\n",
      "  0.70391289+3.12832887e-13j  0.69163917-8.46325022e-12j\n",
      "  0.67769495-1.82530745e-13j  0.66214436+2.91787854e-17j\n",
      "  0.64504036+1.83871615e-12j  0.62642604-2.57377800e-12j\n",
      "  0.6063357 +3.56608547e-12j  0.58479589-4.90181522e-12j\n",
      "  0.56182628+6.67160006e-12j  0.53744032-8.95821943e-12j\n",
      "  0.51164595+1.18253868e-11j  0.48444606-1.53143152e-11j\n",
      "  0.455839  +1.94579276e-11j  0.42581894-2.43567047e-11j\n",
      "  0.39437626+3.03727025e-11j  0.36149791+3.20358307e-11j\n",
      "  0.32716779-6.14269357e-13j  0.29136719+2.05564277e-12j\n",
      "  0.25407533-4.11307379e-12j  0.21527003+5.61099742e-12j\n",
      "  0.17492872-1.48450531e-11j  0.13302969-6.64589279e-12j\n",
      "  0.0895539 -2.16676840e-11j  0.04448754-3.42414392e-11j\n",
      " -0.00217446-3.99431821e-11j -0.0504235 -1.78828845e-11j\n",
      " -0.1002304 -1.55749338e-11j -0.15153594-1.50529742e-11j\n",
      " -0.20423797-1.51700764e-11j -0.2581741 -1.54560843e-11j\n",
      " -0.31309948-1.58973820e-11j -0.36865947-7.24070283e-17j\n",
      " -0.42435935+3.28458804e-16j -0.4795367 +3.62643670e-16j]\n",
      "[6.09322868e-11 3.61494167e-11 8.08664683e-10 3.76313870e-10\n",
      " 1.46250094e-10 4.55413982e-11 1.05792913e-11 6.93534350e-11\n",
      " 6.67381898e-12 6.74253104e-11 3.65652484e-12 6.89571935e-11\n",
      " 2.32233882e-12 1.17206596e-11 3.24292909e-11 6.38109248e-11\n",
      " 1.50063717e-11 1.82078905e-10 4.36924169e-12 4.44089210e-16\n",
      " 1.20085166e-10 1.67645887e-10 2.23288902e-10 2.85957104e-10\n",
      " 3.54177302e-10 4.25999643e-10 4.98623203e-10 5.67548885e-10\n",
      " 6.25160796e-10 6.59116357e-10 6.51642995e-10 5.90338529e-10\n",
      " 5.55585249e-12 8.13315295e-12 1.38592066e-11 2.14815483e-11\n",
      " 3.20553923e-11 3.99755536e-11 8.23769658e-11 1.29926618e-10\n",
      " 1.61674904e-10 4.61418931e-10 5.84594314e-10 7.14633747e-10\n",
      " 8.53999116e-10 9.99715497e-10 1.14096284e-09 0.00000000e+00\n",
      " 2.51214793e-15 3.20237283e-15]\n",
      "[15.25546146 15.77715053 16.24358684 16.65239731 17.00277103 17.2952757\n",
      " 17.5315813  17.71414571 17.84591065 17.9300402  17.96971732 17.9680003\n",
      " 17.92773183 17.85149037 17.74157217 17.59999421 17.42851001 17.22863266\n",
      " 17.00166097 16.74870627 16.47071827 16.16850927 15.84277625 15.49412094\n",
      " 15.12306795 14.73008122 14.31557905 13.87994825 13.42355747 12.94677044\n",
      " 12.44995919 11.93351803 11.39787859 10.8435265  10.27102059  9.68101526\n",
      "  9.07428704  8.45176664  7.81457796  7.16408566  6.50195346  5.83021532\n",
      "  5.15136142  4.46844052  3.78517776  3.10610339  2.43667926  1.78339628\n",
      "  1.15379459  0.55633131]\n",
      "[4.24508418e-11 1.87655245e-11 4.66328070e-10 2.51043435e-10\n",
      " 1.04969988e-10 3.31754409e-11 7.45071676e-12 2.95198007e-10\n",
      " 3.32427981e-11 3.13299193e-10 7.77616241e-12 3.25012101e-10\n",
      " 2.12121386e-11 1.28545300e-10 4.38433163e-10 1.08965888e-09\n",
      " 1.04772534e-12 3.55568241e-10 5.21126199e-12 8.88178420e-16\n",
      " 1.65600301e-11 3.41912511e-11 6.23929750e-11 1.03982746e-10\n",
      " 1.61045553e-10 2.34107711e-10 3.21087241e-10 4.16318039e-10\n",
      " 5.10309296e-10 5.91779459e-10 6.54854404e-10 8.35107115e-10\n",
      " 1.56310870e-11 2.10567974e-11 3.08168289e-11 4.59284319e-11\n",
      " 1.60819255e-11 7.77898361e-11 9.99376421e-11 1.26019524e-10\n",
      " 1.41988955e-10 2.55676036e-10 3.32135449e-10 4.25664001e-10\n",
      " 5.40172627e-10 6.70663753e-10 8.03863685e-10 3.58036167e-15\n",
      " 1.83102672e-15 7.11929162e-15]\n",
      "14\n",
      "[-0.4795367 +3.62643670e-16j -0.42435935+3.28458804e-16j\n",
      " -0.36865947-7.24070283e-17j -0.31309948-1.58973820e-11j\n",
      " -0.2581741 -1.54560843e-11j -0.20423797-1.51700764e-11j\n",
      " -0.15153594-1.50529742e-11j -0.1002304 -1.55749338e-11j\n",
      " -0.0504235 -1.78828845e-11j -0.00217446-3.99431821e-11j\n",
      "  0.04448754-3.42414392e-11j  0.0895539 -2.16676840e-11j\n",
      "  0.13302969-6.64589279e-12j  0.17492872-1.48450531e-11j\n",
      "  0.21527003+5.61099742e-12j  0.25407533-4.11307379e-12j\n",
      "  0.29136719+2.05564277e-12j  0.32716779-6.14269357e-13j\n",
      "  0.36149791+3.20358307e-11j  0.39437626+3.03727025e-11j\n",
      "  0.42581894-2.43567047e-11j  0.455839  +1.94579276e-11j\n",
      "  0.48444606-1.53143152e-11j  0.51164595+1.18253868e-11j\n",
      "  0.53744032-8.95821943e-12j  0.56182628+6.67160006e-12j\n",
      "  0.58479589-4.90181522e-12j  0.6063357 +3.56608547e-12j\n",
      "  0.62642604-2.57377800e-12j  0.64504036+1.83871615e-12j\n",
      "  0.66214436+2.91787854e-17j  0.67769495-1.82530745e-13j\n",
      "  0.69163917-8.46325022e-12j  0.70391289+3.12832887e-13j\n",
      "  0.71443942-1.05044298e-10j  0.72312806+4.40604999e-11j\n",
      "  0.72987266-1.35130761e-11j  0.7345504 +2.34250349e-12j\n",
      "  0.7370209 -2.11794539e-11j  0.73712624+3.22174059e-13j\n",
      "  0.73469202-2.04060914e-11j  0.72953031+4.69242014e-12j\n",
      "  0.72144503+4.47252751e-11j  0.71024027-2.32469511e-13j\n",
      "  0.69573203-7.83642163e-13j  0.67776316-2.17144762e-12j\n",
      "  0.65622051-6.60406596e-12j  0.63105251-2.26627565e-11j\n",
      "  0.60228433-8.71832954e-13j  0.57002777+3.38849423e-12j]\n",
      "[3.66205344e-15 1.77635684e-15 2.22044605e-15 1.35263036e-09\n",
      " 1.23991507e-09 1.10498447e-09 9.61520827e-10 8.15995391e-10\n",
      " 6.66709143e-10 1.92881447e-10 1.93016220e-10 1.66025339e-10\n",
      " 1.30271719e-10 1.17441982e-10 8.88401605e-11 6.61264166e-11\n",
      " 4.67580429e-11 3.37106569e-11 1.07490896e-09 9.49191690e-10\n",
      " 8.82360867e-10 7.71771994e-10 6.36619078e-10 4.99780084e-10\n",
      " 3.76260071e-10 2.73039692e-10 1.91578736e-10 1.30198858e-10\n",
      " 8.57784967e-11 5.47668338e-11 3.87784231e-15 1.06913204e-11\n",
      " 1.94893931e-10 5.82885675e-12 1.40341887e-09 5.61402677e-10\n",
      " 1.63878824e-10 2.69716478e-11 3.44275155e-10 8.15490947e-12\n",
      " 3.31844511e-10 4.28540591e-11 3.85725898e-10 1.06583400e-11\n",
      " 4.78997456e-11 1.56641294e-10 4.01403660e-10 8.47178465e-10\n",
      " 3.05620909e-11 5.31839210e-11]\n",
      "[1.98602732e-15 3.20237283e-15 4.44089210e-16 1.35263254e-09\n",
      " 1.23991761e-09 1.10498562e-09 9.61522172e-10 8.15998611e-10\n",
      " 6.66712352e-10 1.92880134e-10 1.93015287e-10 1.66026209e-10\n",
      " 1.30274198e-10 1.17439857e-10 8.88440768e-11 6.61291583e-11\n",
      " 4.67602160e-11 3.37140196e-11 1.07491200e-09 9.49190845e-10\n",
      " 8.82357020e-10 7.71770124e-10 6.36615124e-10 4.99777894e-10\n",
      " 3.76256101e-10 2.73037377e-10 1.91574765e-10 1.30194934e-10\n",
      " 8.57745252e-11 5.47645435e-11 4.86981837e-15 1.06966062e-11\n",
      " 1.94893202e-10 5.82682255e-12 1.40341904e-09 5.61406826e-10\n",
      " 1.63879011e-10 2.69749338e-11 3.44269739e-10 8.15216234e-12\n",
      " 3.31840608e-10 4.28541368e-11 3.85726168e-10 1.06527247e-11\n",
      " 4.78958115e-11 1.56637365e-10 4.01399725e-10 8.47174511e-10\n",
      " 3.05582196e-11 5.31813274e-11]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252 13.41389634 13.69523257 13.95905617 14.20512647 14.43311825\n",
      " 14.64261119 14.83307774 15.0038692  15.15420006 15.28313103 15.38955114\n",
      " 15.47216032 15.52945407 15.55971332 15.56100353 15.53118869 15.46796712\n",
      " 15.36893705 15.23169902 15.0539994  14.83391328 14.57005483 14.2617923\n",
      " 13.9094342  13.51434983]\n",
      "15\n",
      "[-0.4795367 +3.62643670e-16j -0.42435935+3.28458804e-16j\n",
      " -0.36865947-7.24070283e-17j -0.31309948-1.58973820e-11j\n",
      " -0.2581741 -1.54560843e-11j -0.20423797-1.51700764e-11j\n",
      " -0.15153594-1.50529742e-11j -0.1002304 -1.55749338e-11j\n",
      " -0.0504235 -1.78828845e-11j -0.00217446-3.99431821e-11j\n",
      "  0.04448754-3.42414392e-11j  0.0895539 -2.16676840e-11j\n",
      "  0.13302969-6.64589279e-12j  0.17492872-1.48450531e-11j\n",
      "  0.21527003+5.61099742e-12j  0.25407533-4.11307379e-12j\n",
      "  0.29136719+2.05564277e-12j  0.32716779-6.14269357e-13j\n",
      "  0.36149791+3.20358307e-11j  0.39437626+3.03727025e-11j\n",
      "  0.42581894-2.43567047e-11j  0.455839  +1.94579276e-11j\n",
      "  0.48444606-1.53143152e-11j  0.51164595+1.18253868e-11j\n",
      "  0.53744032-8.95821943e-12j  0.56182628+6.67160006e-12j\n",
      "  0.58479589-4.90181522e-12j  0.6063357 +3.56608547e-12j\n",
      "  0.62642604-2.57377800e-12j  0.64504036+1.83871615e-12j\n",
      "  0.66214436+2.91787854e-17j  0.67769495-1.82530745e-13j\n",
      "  0.69163917-8.46325022e-12j  0.70391289+3.12832887e-13j\n",
      "  0.71443942-1.05044298e-10j  0.72312806+4.40604999e-11j\n",
      "  0.72987266-1.35130761e-11j  0.7345504 +2.34250349e-12j\n",
      "  0.7370209 -2.11794539e-11j  0.73712624+3.22174059e-13j\n",
      "  0.73469202-2.04060914e-11j  0.72953031+4.69242014e-12j\n",
      "  0.72144503+4.47252751e-11j  0.71024027-2.32469511e-13j\n",
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      " 3.76256101e-10 2.73037377e-10 1.91574765e-10 1.30194934e-10\n",
      " 8.57745252e-11 5.47645435e-11 4.86981837e-15 1.06966062e-11\n",
      " 1.94893202e-10 5.82682255e-12 1.40341904e-09 5.61406826e-10\n",
      " 1.63879011e-10 2.69749338e-11 3.44269739e-10 8.15216234e-12\n",
      " 3.31840608e-10 4.28541368e-11 3.85726168e-10 1.06527247e-11\n",
      " 4.78958115e-11 1.56637365e-10 4.01399725e-10 8.47174511e-10\n",
      " 3.05582196e-11 5.31813274e-11]\n",
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      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252 13.41389634 13.69523257 13.95905617 14.20512647 14.43311825\n",
      " 14.64261119 14.83307774 15.0038692  15.15420006 15.28313103 15.38955114\n",
      " 15.47216032 15.52945407 15.55971332 15.56100353 15.53118869 15.46796712\n",
      " 15.36893705 15.23169902 15.0539994  14.83391328 14.57005483 14.2617923\n",
      " 13.9094342  13.51434983]\n",
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      " 6.66708775e-10 1.92879270e-10 1.93013771e-10 1.66024398e-10\n",
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      " 8.82357779e-10 7.71772344e-10 6.36617665e-10 4.99778560e-10\n",
      " 3.76258581e-10 2.73039363e-10 1.91575731e-10 1.30198702e-10\n",
      " 8.57770593e-11 5.47680939e-11 5.51547357e-15 1.06930337e-11\n",
      " 1.94891556e-10 5.82903697e-12 1.40341740e-09 5.61407123e-10\n",
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      " 4.78970687e-11 1.56638640e-10 4.01400979e-10 8.47175685e-10\n",
      " 3.05596319e-11 5.31834801e-11]\n",
      "16\n",
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      " 2.51214793e-15 8.88178420e-16]\n",
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      " 2.70475551e-09 2.98674032e-09 3.31280385e-09 1.28505653e-09\n",
      " 4.12995585e-09 2.09040170e-10 1.49601277e-09 1.57658669e-09\n",
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      " 2.38176361e-09 2.56097669e-09 2.72999377e-09 2.89849101e-09\n",
      " 3.08677744e-09 3.32552509e-09 1.03334818e-10 1.23593046e-10\n",
      " 1.52952602e-10 1.94229873e-10 2.48353512e-10 1.33226763e-15\n",
      " 0.00000000e+00 1.98602732e-15]\n",
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      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490089  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "17\n",
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      " 4.12995582e-09 2.09034408e-10 1.49601132e-09 1.57659085e-09\n",
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      " 2.38176488e-09 2.56097865e-09 2.72999561e-09 2.89849247e-09\n",
      " 3.08677966e-09 3.32552622e-09 1.03330845e-10 1.23593046e-10\n",
      " 1.52952602e-10 1.94233108e-10 2.48354942e-10 4.88498131e-15\n",
      " 0.00000000e+00 1.98602732e-15]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
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      "  5.30490089  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
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      "18\n",
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      " 3.41473943e-10 5.23305092e-09 4.34148977e-09 3.60976017e-09\n",
      " 2.99005079e-09 2.46628214e-09 2.02152232e-09 1.64403628e-09\n",
      " 1.32800881e-09 1.07587718e-09 1.77635684e-15 8.30414324e-10\n",
      " 8.74794618e-10 1.01578035e-09 1.21649343e-09 1.44235079e-09\n",
      " 1.66242387e-09 1.84771859e-09 1.97625687e-09 2.04075367e-09\n",
      " 2.05150575e-09 2.03664379e-09 4.89046040e-10 1.98776326e-09\n",
      " 9.12540206e-11 5.84045275e-11 2.95315121e-12 8.89195563e-11\n",
      " 1.94804081e-10 2.97643429e-10]\n",
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      " 11.93351803 12.44995918 12.94677044 13.42355747 13.87994824 14.31557905\n",
      " 14.73008121 15.12306795 15.49412094 15.84277625 16.16850927 16.47071827\n",
      " 16.74870627 17.00166097 17.22863266 17.42851001 17.59999421 17.74157217\n",
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      " 17.71414571 17.5315813  17.2952757  17.00277103 16.65239731 16.24358684\n",
      " 15.77715053 15.25546146]\n",
      "19\n",
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      "[1.83102672e-15 4.72073305e-15 8.88178420e-16 5.64892893e-10\n",
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      " 4.10840782e-09 3.72940849e-09 3.38767571e-09 3.10847274e-09\n",
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      " 3.39707663e-09 3.62332325e-09 3.81909229e-09 3.98197440e-09\n",
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      " 2.99004972e-09 2.46628214e-09 2.02151985e-09 1.64403451e-09\n",
      " 1.32800878e-09 1.07587452e-09 1.77635684e-15 8.30414324e-10\n",
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      " 1.66242387e-09 1.84771859e-09 1.97625687e-09 2.04075367e-09\n",
      " 2.05150575e-09 2.03664379e-09 4.89046040e-10 1.98776391e-09\n",
      " 9.12562276e-11 5.84045275e-11 2.95254460e-12 8.89200004e-11\n",
      " 1.94804081e-10 2.97644758e-10]\n",
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      "  8.72573473  7.97019837  7.24916152  6.56315664  5.91212399  5.29559098\n",
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      "  1.72306669  1.63068376  1.50905047  1.35529006  1.16647001  0.93979171\n",
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      " 9.41716022e-10 1.52447004e-08 2.26737275e-09 1.20375794e-08\n",
      " 1.07945425e-08 9.74072950e-09 8.84621015e-09 8.08615771e-09\n",
      " 7.43965746e-09 6.88863336e-09 4.72073305e-15 6.00732630e-09\n",
      " 5.64314750e-09 5.30327136e-09 4.96191351e-09 4.58689636e-09\n",
      " 4.14018305e-09 3.58329048e-09 2.89139532e-09 2.08835444e-09\n",
      " 1.42608524e-09 1.80278648e-09 5.78906328e-10 5.22432000e-09\n",
      " 5.10933234e-10 6.44042264e-10 7.67618404e-10 8.61025524e-10\n",
      " 9.03363004e-10 8.95069916e-10]\n",
      "20\n",
      "[ 0.57002777+3.70553933e-11j  0.60228433+3.10210567e-11j\n",
      "  0.63105251+1.84170910e-11j  0.65622051+5.22137612e-12j\n",
      "  0.67776316-4.63370465e-12j  0.69573203-1.02432708e-11j\n",
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      "  0.72953031+2.57440775e-10j  0.73469202+2.46823582e-10j\n",
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      "  0.7345504 +2.46735996e-10j  0.72987266+2.44169736e-10j\n",
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      "  0.70391289+2.29028020e-10j  0.69163917-1.15809175e-12j\n",
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      "  0.6063357 -2.47548082e-10j  0.58479589-2.59030818e-10j\n",
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      " 4.12995295e-09 2.09036512e-10 2.43927774e-10 2.86105546e-10\n",
      " 3.37530982e-10 4.00747366e-10 4.79067727e-10 5.76827340e-10\n",
      " 6.99718268e-10 8.55244426e-10 1.05327961e-09 1.30677863e-09\n",
      " 1.63258166e-09 2.05220475e-09 2.59226401e-09 3.28380885e-09\n",
      " 6.08647689e-11 9.80426304e-11 1.51048350e-10 8.88178420e-16\n",
      " 3.79429987e-15 3.66205344e-15]\n",
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      " 1.79763315e-10 1.80108620e-10 2.31790202e-09 3.53422892e-10\n",
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      " 1.93248996e-09 2.07605024e-09 2.25227230e-09 2.46119332e-09\n",
      " 2.70474956e-09 2.98673221e-09 3.31279758e-09 1.28506407e-09\n",
      " 4.12995020e-09 2.09033697e-10 2.43924903e-10 2.86102616e-10\n",
      " 3.37527992e-10 4.00745026e-10 4.79064613e-10 5.76824162e-10\n",
      " 6.99715027e-10 8.55241121e-10 1.05327625e-09 1.30677617e-09\n",
      " 1.63257817e-09 2.05220119e-09 2.59226151e-09 3.28380635e-09\n",
      " 6.08629096e-11 9.80406237e-11 1.51046306e-10 3.79429987e-15\n",
      " 4.44089210e-16 1.33226763e-15]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
      "21\n",
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      "  0.6063357 -2.47548082e-10j  0.58479589-2.59030818e-10j\n",
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      "[3.88335765e-10 2.80848291e-10 1.98001510e-10 1.73511973e-10\n",
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      " 2.14624595e-09 2.02629774e-09 1.90467210e-09 1.80432108e-09\n",
      " 1.74160274e-09 4.32061910e-11 1.49293551e-11 4.72073305e-15\n",
      " 1.93249077e-09 2.07605099e-09 2.25227298e-09 2.46119394e-09\n",
      " 2.70475013e-09 2.98673111e-09 3.31279643e-09 1.28506468e-09\n",
      " 4.12994975e-09 2.09034960e-10 2.43926157e-10 2.86103860e-10\n",
      " 3.37529225e-10 4.00745535e-10 4.79065067e-10 5.76825354e-10\n",
      " 6.99716202e-10 8.55241396e-10 1.05327738e-09 1.30677631e-09\n",
      " 1.63257926e-09 2.05220225e-09 2.59226254e-09 3.28380734e-09\n",
      " 6.08642403e-11 9.80419531e-11 1.51047634e-10 3.97205465e-15\n",
      " 4.44089210e-16 4.88498131e-15]\n",
      "[13.51434983 13.9094342  14.2617923  14.57005483 14.83391328 15.0539994\n",
      " 15.23169902 15.36893705 15.46796712 15.53118869 15.56100353 15.55971332\n",
      " 15.52945407 15.47216032 15.38955114 15.28313103 15.15420006 15.0038692\n",
      " 14.83307774 14.64261119 14.43311825 14.20512647 13.95905616 13.69523256\n",
      " 13.41389633 13.11521252 12.79927816 12.46612882 12.11574411 11.74805272\n",
      " 11.36293682 10.96023658 10.5397548  10.10126229  9.64450444  9.16920985\n",
      "  8.67510188  8.1619146   7.62941493  7.0774336   6.5059085   5.91494516\n",
      "  5.30490088  4.67650088  4.03099648  3.37037645  2.69764002  2.01713084\n",
      "  1.33490807  0.65908545]\n",
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      " 2.70475181e-09 2.98673475e-09 3.31280021e-09 1.28506231e-09\n",
      " 4.12995414e-09 2.09033711e-10 2.43924430e-10 2.86102228e-10\n",
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      " 6.08621075e-11 9.80398546e-11 1.51045693e-10 8.88178420e-16\n",
      " 2.22044605e-15 3.20237283e-15]\n",
      "22\n",
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      " -0.36865947+1.38677911e-16j -0.31309948+1.67050414e-11j\n",
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      " 1.42608350e-09 1.80278729e-09 5.78905158e-10 5.22432732e-09\n",
      " 5.10935939e-10 6.44042393e-10 7.67622198e-10 8.61023584e-10\n",
      " 9.03357167e-10 8.95066579e-10]\n",
      "[1.77635684e-15 4.44089210e-16 1.77635684e-15 8.00575315e-11\n",
      " 7.88248150e-11 7.64295432e-11 9.27635244e-09 7.13833485e-09\n",
      " 5.48189204e-09 4.21476515e-09 3.25146178e-09 2.52049921e-09\n",
      " 1.96524038e-09 1.54215282e-09 1.21834487e-09 9.69196686e-10\n",
      " 7.76353625e-10 6.26138809e-10 5.08357018e-10 4.15379602e-10\n",
      " 3.41479354e-10 5.23304946e-09 4.34148814e-09 3.60975911e-09\n",
      " 2.99004936e-09 2.46628359e-09 2.02152577e-09 1.64403681e-09\n",
      " 1.32800717e-09 1.07587357e-09 1.33226763e-15 3.45012731e-11\n",
      " 9.98929846e-12 1.01577986e-09 1.21649343e-09 1.44234481e-09\n",
      " 1.66242361e-09 1.84772017e-09 1.97625089e-09 2.04075184e-09\n",
      " 2.05150927e-09 2.03664125e-09 4.89045106e-10 1.98776214e-09\n",
      " 9.12566948e-11 5.84049154e-11 2.95412642e-12 8.89190897e-11\n",
      " 1.94803482e-10 2.97646531e-10]\n",
      "[ 0.55633131  1.15379459  1.78339628  2.43667926  3.10610339  3.78517776\n",
      "  4.46844051  5.15136142  5.83021531  6.50195346  7.16408565  7.81457796\n",
      "  8.45176664  9.07428703  9.68101526 10.27102059 10.8435265  11.39787859\n",
      " 11.93351803 12.44995919 12.94677044 13.42355747 13.87994824 14.31557905\n",
      " 14.73008121 15.12306795 15.49412094 15.84277625 16.16850927 16.47071827\n",
      " 16.74870627 17.00166097 17.22863266 17.42851001 17.59999421 17.74157217\n",
      " 17.85149037 17.92773183 17.9680003  17.96971733 17.9300402  17.84591065\n",
      " 17.71414571 17.5315813  17.2952757  17.00277103 16.65239731 16.24358684\n",
      " 15.77715053 15.25546146]\n",
      "23\n",
      "[-0.4795367 +3.73340035e-16j -0.42435935+1.36755674e-16j\n",
      " -0.36865947+1.38677911e-16j -0.31309948+1.67050414e-11j\n",
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      "  0.21527003+4.49782441e-11j  0.25407533+3.46397751e-11j\n",
      "  0.29136719+2.66060498e-11j  0.32716779+2.03489291e-11j\n",
      "  0.36149791+1.54660369e-11j  0.39437626+1.16519146e-11j\n",
      "  0.42581894+8.67427591e-12j  0.455839  +3.57053945e-10j\n",
      "  0.48444606-2.48706302e-10j  0.51164595-3.08538540e-10j\n",
      "  0.53744032-2.89309532e-10j  0.56182628-2.72896533e-10j\n",
      "  0.58479589-2.59030818e-10j  0.6063357 -2.47548082e-10j\n",
      "  0.62642604-2.38385285e-10j  0.64504036-2.31568535e-10j\n",
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      "  0.69163917-1.15809175e-12j  0.70391289+2.29028020e-10j\n",
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      "  0.60228433+3.10210567e-11j  0.57002777+3.70553933e-11j]\n",
      "[1.77635684e-15 4.44089210e-16 1.77635684e-15 8.00575315e-11\n",
      " 7.88248150e-11 7.64295432e-11 9.27635244e-09 7.13833485e-09\n",
      " 5.48189204e-09 4.21476515e-09 3.25146178e-09 2.52049921e-09\n",
      " 1.96524038e-09 1.54215282e-09 1.21834487e-09 9.69196686e-10\n",
      " 7.76353625e-10 6.26138809e-10 5.08357018e-10 4.15379602e-10\n",
      " 3.41479354e-10 5.23305230e-09 4.34148939e-09 3.60975880e-09\n",
      " 2.99004759e-09 2.46628359e-09 2.02152318e-09 1.64403451e-09\n",
      " 1.32800597e-09 1.07587156e-09 1.33226763e-15 3.45012731e-11\n",
      " 9.98929846e-12 1.01577986e-09 1.21649343e-09 1.44234481e-09\n",
      " 1.66242361e-09 1.84772017e-09 1.97625089e-09 2.04075184e-09\n",
      " 2.05150927e-09 2.03664125e-09 4.89045106e-10 1.98776369e-09\n",
      " 9.12564483e-11 5.84054153e-11 2.95116527e-12 8.89190897e-11\n",
      " 1.94806587e-10 2.97647737e-10]\n",
      "[13.80149125 12.92364833 12.04573048 11.1795061  10.33368774  9.51440428\n",
      "  8.72573474  7.97019837  7.24916152  6.56315664  5.91212399  5.29559098\n",
      "  4.71280342  4.16282063  3.6445842   3.15696725  2.69880979  2.26894405\n",
      "  1.86621253  1.48948111  1.13764848  0.80965321  0.50447919  0.22116024\n",
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      "  1.21887473  1.35469982  1.47432922  1.57791473  1.66546518  1.73682534\n",
      "  1.79165143  1.82938329  1.84921393  1.85005799  1.8305219   1.78888049\n",
      "  1.72306669  1.63068376  1.50905047  1.35529006  1.16647001  0.93979171\n",
      "  0.67281789  0.36371174]\n",
      "[3.79429987e-15 1.77635684e-15 3.97205465e-15 4.21128928e-10\n",
      " 2.81082896e-10 1.80880262e-10 1.58817577e-08 1.26708509e-08\n",
      " 1.00940913e-08 8.05128624e-09 6.44178085e-09 5.17643969e-09\n",
      " 4.18115026e-09 3.39645331e-09 2.77558897e-09 2.28222282e-09\n",
      " 1.88828227e-09 1.57211974e-09 1.31706668e-09 1.11025440e-09\n",
      " 9.41717837e-10 1.52446986e-08 2.26736914e-09 1.20375775e-08\n",
      " 1.07945463e-08 9.74072887e-09 8.84621921e-09 8.08615625e-09\n",
      " 7.43965895e-09 6.88863262e-09 3.55271368e-15 2.71674671e-11\n",
      " 5.63596066e-11 5.30327137e-09 4.96191646e-09 4.58689712e-09\n",
      " 4.14018112e-09 3.58328975e-09 2.89139972e-09 2.08835624e-09\n",
      " 1.42608375e-09 1.80278666e-09 5.78906459e-10 5.22432910e-09\n",
      " 5.10933491e-10 6.44041208e-10 7.67622505e-10 8.61022742e-10\n",
      " 9.03358759e-10 8.95067012e-10]\n",
      "24\n",
      "[-0.53744032+8.95798895e-12j -0.51164595-1.18256006e-11j\n",
      " -0.48444606+1.53141897e-11j -0.455839  -1.94577806e-11j\n",
      " -0.42581894+2.43566482e-11j -0.39437626-3.03725447e-11j\n",
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      " -0.29136719-2.05547656e-12j -0.25407533+4.11301226e-12j\n",
      " -0.21527003-5.61090732e-12j -0.17492872+1.48454080e-11j\n",
      " -0.13302969+6.64624041e-12j -0.0895539 +2.16678588e-11j\n",
      " -0.04448754+3.42415110e-11j  0.00217446+3.99431974e-11j\n",
      "  0.0504235 +1.78833345e-11j  0.1002304 +1.55749421e-11j\n",
      "  0.15153594+1.50529211e-11j  0.20423797+1.51704471e-11j\n",
      "  0.2581741 +1.54562642e-11j  0.31309948+1.58972351e-11j\n",
      "  0.36865947+1.87958469e-16j  0.42435935-3.69595364e-16j\n",
      "  0.4795367 -2.24830335e-16j]\n",
      "[4.25999582e-10 4.98620695e-10 5.67547834e-10 6.25169375e-10\n",
      " 6.59121076e-10 6.51645972e-10 5.90343736e-10 5.55197034e-12\n",
      " 8.13108386e-12 1.38589301e-11 2.14847428e-11 3.20525910e-11\n",
      " 3.99745102e-11 8.23748343e-11 1.29930633e-10 1.61672061e-10\n",
      " 4.61422282e-10 5.84592492e-10 7.14628546e-10 8.53995187e-10\n",
      " 9.99715680e-10 1.14096018e-09 8.88178420e-16 8.88178420e-16\n",
      " 1.83102672e-15]\n",
      "[2.34109122e-10 3.21088742e-10 4.16317794e-10 5.10310164e-10\n",
      " 5.91781284e-10 6.54851217e-10 8.35106594e-10 1.56326206e-11\n",
      " 2.10584085e-11 3.08176030e-11 4.59284319e-11 1.60791022e-11\n",
      " 7.77888360e-11 9.99325014e-11 1.26023461e-10 1.41989978e-10\n",
      " 2.55678609e-10 3.32137351e-10 4.25663950e-10 5.40171555e-10\n",
      " 6.70665318e-10 8.03861896e-10 1.98602732e-15 8.88178420e-16\n",
      " 3.58036167e-15]\n",
      "[14.73008122 14.31557905 13.87994825 13.42355747 12.94677044 12.44995919\n",
      " 11.93351803 11.39787859 10.8435265  10.27102059  9.68101526  9.07428704\n",
      "  8.45176664  7.81457796  7.16408566  6.50195346  5.83021532  5.15136142\n",
      "  4.46844052  3.78517776  3.10610339  2.43667926  1.78339628  1.15379459\n",
      "  0.55633131]\n",
      "25\n",
      "[-0.53744032+8.95798895e-12j -0.51164595-1.18256006e-11j\n",
      " -0.48444606+1.53141897e-11j -0.455839  -1.94577806e-11j\n",
      " -0.42581894+2.43566482e-11j -0.39437626-3.03725447e-11j\n",
      " -0.36149791-3.20356374e-11j -0.32716779+6.14333311e-13j\n",
      " -0.29136719-2.05547656e-12j -0.25407533+4.11301226e-12j\n",
      " -0.21527003-5.61090732e-12j -0.17492872+1.48454080e-11j\n",
      " -0.13302969+6.64624041e-12j -0.0895539 +2.16678588e-11j\n",
      " -0.04448754+3.42415110e-11j  0.00217446+3.99431974e-11j\n",
      "  0.0504235 +1.78833345e-11j  0.1002304 +1.55749421e-11j\n",
      "  0.15153594+1.50529211e-11j  0.20423797+1.51704471e-11j\n",
      "  0.2581741 +1.54562642e-11j  0.31309948+1.58972351e-11j\n",
      "  0.36865947+1.87958469e-16j  0.42435935-3.69595364e-16j\n",
      "  0.4795367 -2.24830335e-16j]\n",
      "[2.34107501e-10 3.21088742e-10 4.16318406e-10 5.10310164e-10\n",
      " 5.91780006e-10 6.54851217e-10 8.35106594e-10 1.56286824e-11\n",
      " 2.10584085e-11 3.08166877e-11 4.59284319e-11 1.60777677e-11\n",
      " 7.77909942e-11 9.99323933e-11 1.26019236e-10 1.41986764e-10\n",
      " 2.55677257e-10 3.32139406e-10 4.25664001e-10 5.40171555e-10\n",
      " 6.70671342e-10 8.03862550e-10 1.77635684e-15 8.88178420e-16\n",
      " 3.58036167e-15]\n",
      "[ 0.04121597  0.22116023  0.50447919  0.8096532   1.13764848  1.48948111\n",
      "  1.86621254  2.26894405  2.69880979  3.15696725  3.6445842   4.16282063\n",
      "  4.71280341  5.29559098  5.91212398  6.56315663  7.24916152  7.97019837\n",
      "  8.72573473  9.51440428 10.33368774 11.1795061  12.04573048 12.92364833\n",
      " 13.80149125]\n",
      "[4.26000594e-10 4.98618718e-10 5.67547648e-10 6.25169588e-10\n",
      " 6.59122039e-10 6.51645431e-10 5.90343792e-10 5.55519243e-12\n",
      " 8.13291697e-12 1.38589301e-11 2.14850637e-11 3.20525143e-11\n",
      " 3.99730571e-11 8.23752669e-11 1.29930633e-10 1.61672061e-10\n",
      " 4.61420286e-10 5.84592936e-10 7.14631820e-10 8.53995740e-10\n",
      " 9.99713854e-10 1.14095973e-09 1.77635684e-15 2.66453526e-15\n",
      " 2.22044605e-15]\n",
      "26\n",
      "[ 0.4795367 -2.24830335e-16j  0.42435935-3.69595364e-16j\n",
      "  0.36865947+1.87958469e-16j  0.31309948+1.58972351e-11j\n",
      "  0.2581741 +1.54562642e-11j  0.20423797+1.51704471e-11j\n",
      "  0.15153594+1.50529211e-11j  0.1002304 +1.55749421e-11j\n",
      "  0.0504235 +1.78833345e-11j  0.00217446+3.99431974e-11j\n",
      " -0.04448754+3.42415110e-11j -0.0895539 +2.16678588e-11j\n",
      " -0.13302969+6.64624041e-12j -0.17492872+1.48454080e-11j\n",
      " -0.21527003-5.61090732e-12j -0.25407533+4.11301226e-12j\n",
      " -0.29136719-2.05547656e-12j -0.32716779+6.14333311e-13j\n",
      " -0.36149791-3.20356374e-11j -0.39437626-3.03725447e-11j\n",
      " -0.42581894+2.43566482e-11j -0.455839  -1.94577806e-11j\n",
      " -0.48444606+1.53141897e-11j -0.51164595-1.18256006e-11j\n",
      " -0.53744032+8.95798895e-12j]\n",
      "[8.88178420e-16 4.44089210e-16 2.22044605e-15 1.35262793e-09\n",
      " 1.23991471e-09 1.10498616e-09 9.61517651e-10 8.15993065e-10\n",
      " 6.66707686e-10 1.92878442e-10 1.93014820e-10 1.66025521e-10\n",
      " 1.30270973e-10 1.17441099e-10 8.88439473e-11 6.61252140e-11\n",
      " 4.67602160e-11 3.37105270e-11 1.07490854e-09 9.49192727e-10\n",
      " 8.82359296e-10 7.71774985e-10 6.36619642e-10 4.99781637e-10\n",
      " 3.76260566e-10]\n",
      "[8.88178420e-16 2.84355838e-15 3.58036167e-15 1.35262684e-09\n",
      " 1.23991344e-09 1.10498643e-09 9.61520439e-10 8.15997574e-10\n",
      " 6.66708848e-10 1.92884902e-10 1.93012955e-10 1.66025683e-10\n",
      " 1.30268867e-10 1.17444371e-10 8.88396427e-11 6.61245948e-11\n",
      " 4.67542672e-11 3.37055265e-11 1.07490582e-09 9.49192534e-10\n",
      " 8.82364247e-10 7.71775663e-10 6.36621619e-10 4.99782511e-10\n",
      " 3.76262763e-10]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252]\n",
      "27\n",
      "[ 0.4795367 -2.24830335e-16j  0.42435935-3.69595364e-16j\n",
      "  0.36865947+1.87958469e-16j  0.31309948+1.58972351e-11j\n",
      "  0.2581741 +1.54562642e-11j  0.20423797+1.51704471e-11j\n",
      "  0.15153594+1.50529211e-11j  0.1002304 +1.55749421e-11j\n",
      "  0.0504235 +1.78833345e-11j  0.00217446+3.99431974e-11j\n",
      " -0.04448754+3.42415110e-11j -0.0895539 +2.16678588e-11j\n",
      " -0.13302969+6.64624041e-12j -0.17492872+1.48454080e-11j\n",
      " -0.21527003-5.61090732e-12j -0.25407533+4.11301226e-12j\n",
      " -0.29136719-2.05547656e-12j -0.32716779+6.14333311e-13j\n",
      " -0.36149791-3.20356374e-11j -0.39437626-3.03725447e-11j\n",
      " -0.42581894+2.43566482e-11j -0.455839  -1.94577806e-11j\n",
      " -0.48444606+1.53141897e-11j -0.51164595-1.18256006e-11j\n",
      " -0.53744032+8.95798895e-12j]\n",
      "[8.88178420e-16 6.46603650e-15 3.58036167e-15 1.35262684e-09\n",
      " 1.23991344e-09 1.10498643e-09 9.61519469e-10 8.15997574e-10\n",
      " 6.66708185e-10 1.92884902e-10 1.93008465e-10 1.66023710e-10\n",
      " 1.30267376e-10 1.17440215e-10 8.88425071e-11 6.61249134e-11\n",
      " 4.67571249e-11 3.37086293e-11 1.07490650e-09 9.49195993e-10\n",
      " 8.82364247e-10 7.71775663e-10 6.36621619e-10 4.99782511e-10\n",
      " 3.76262763e-10]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252]\n",
      "[1.77635684e-15 2.22044605e-15 1.83102672e-15 1.35262659e-09\n",
      " 1.23991364e-09 1.10498535e-09 9.61519773e-10 8.15991169e-10\n",
      " 6.66709733e-10 1.92876749e-10 1.93017152e-10 1.66026554e-10\n",
      " 1.30271532e-10 1.17442424e-10 8.88418597e-11 6.61256650e-11\n",
      " 4.67581570e-11 3.37106569e-11 1.07490886e-09 9.49191690e-10\n",
      " 8.82361105e-10 7.71776783e-10 6.36619263e-10 4.99783412e-10\n",
      " 3.76258863e-10]\n",
      "28\n",
      "[-0.58479589+4.90186376e-12j]\n",
      "[2.8595748e-10]\n",
      "[1.03979506e-10]\n",
      "[15.49412094]\n",
      "29\n",
      "[-0.58479589+4.90186376e-12j]\n",
      "[1.03980482e-10]\n",
      "[0.50649562]\n",
      "[2.85958746e-10]\n",
      "30\n",
      "[-0.58479589+4.90186376e-12j]\n",
      "[1.91580722e-10]\n",
      "[1.91575323e-10]\n",
      "[13.69523257]\n",
      "31\n",
      "[-0.58479589+4.90186376e-12j]\n",
      "[1.91572876e-10]\n",
      "[13.69523257]\n",
      "[1.91581538e-10]\n",
      "32\n",
      "[-0.69163917+8.46327602e-12j -0.67769495+1.82351228e-13j\n",
      " -0.66214436-3.28855901e-17j -0.64504036-1.83837892e-12j\n",
      " -0.62642604+2.57370091e-12j]\n",
      "[1.82078894e-10 4.36710368e-12 3.66205344e-15 1.20087094e-10\n",
      " 1.67644779e-10]\n",
      "[3.55566992e-10 5.20961853e-12 3.66205344e-15 1.65594135e-11\n",
      " 3.41886976e-11]\n",
      "[17.22863266 17.00166097 16.74870627 16.47071827 16.16850927]\n",
      "33\n",
      "[-0.69163917+8.46327602e-12j -0.67769495+1.82351228e-13j\n",
      " -0.66214436-3.28855901e-17j -0.64504036-1.83837892e-12j\n",
      " -0.62642604+2.57370091e-12j]\n",
      "[3.55566467e-10 5.20904528e-12 3.66205344e-15 1.65594135e-11\n",
      " 3.41886976e-11]\n",
      "[1.47432922 1.35469982 1.21887473 1.066577   0.89741936]\n",
      "[1.82079102e-10 4.36977430e-12 2.84355838e-15 1.20088747e-10\n",
      " 1.67644779e-10]\n",
      "34\n",
      "[-0.62642604+2.57370091e-12j -0.64504036-1.83837892e-12j\n",
      " -0.66214436-3.28855901e-17j -0.67769495+1.82351228e-13j\n",
      " -0.69163917+8.46327602e-12j]\n",
      "[8.57773673e-11 5.47671488e-11 3.10862447e-15 1.06930285e-11\n",
      " 1.94891533e-10]\n",
      "[8.57821602e-11 5.47685994e-11 3.97205465e-15 1.06877844e-11\n",
      " 1.94894344e-10]\n",
      "[14.20512647 14.43311825 14.64261119 14.83307774 15.0038692 ]\n",
      "35\n",
      "[-0.62642604+2.57370091e-12j -0.64504036-1.83837892e-12j\n",
      " -0.66214436-3.28855901e-17j -0.67769495+1.82351228e-13j\n",
      " -0.69163917+8.46327602e-12j]\n",
      "[8.57765459e-11 5.47711192e-11 8.34367874e-15 1.06912113e-11\n",
      " 1.94889789e-10]\n",
      "[14.20512647 14.43311825 14.64261119 14.83307774 15.0038692 ]\n",
      "[8.57779833e-11 5.47665188e-11 4.88498131e-15 1.06930596e-11\n",
      " 1.94892841e-10]\n",
      "36\n",
      "[-0.63105251+2.26628887e-11j -0.65622051+6.60401565e-12j\n",
      " -0.67776316+2.17147557e-12j -0.69573203+7.83741674e-13j\n",
      " -0.71024027+2.32506604e-13j -0.72144503-4.47249997e-11j\n",
      " -0.72953031-4.69237585e-12j -0.73469202+2.04061922e-11j\n",
      " -0.73712624-3.22231505e-13j -0.7370209 +2.11794036e-11j\n",
      " -0.7345504 -2.34254298e-12j -0.72987266+1.35131330e-11j\n",
      " -0.72312806-4.40603160e-11j -0.71443942+1.05044228e-10j]\n",
      "[8.08662423e-10 3.76308738e-10 1.46249042e-10 4.55449730e-11\n",
      " 1.05754473e-11 6.93547083e-11 6.67398578e-12 6.74202473e-11\n",
      " 3.65687940e-12 6.89559955e-11 2.31946422e-12 1.17202651e-11\n",
      " 3.24227509e-11 6.38097342e-11]\n",
      "[4.66327823e-10 2.51041363e-10 1.04973049e-10 3.31761608e-11\n",
      " 7.44801702e-12 2.95197165e-10 3.32456352e-11 3.13297805e-10\n",
      " 7.77379445e-12 3.25011939e-10 2.12139613e-11 1.28547836e-10\n",
      " 4.38436902e-10 1.08965874e-09]\n",
      "[16.24358684 16.65239731 17.00277103 17.2952757  17.5315813  17.71414571\n",
      " 17.84591065 17.9300402  17.96971732 17.9680003  17.92773183 17.85149037\n",
      " 17.74157217 17.59999421]\n",
      "37\n",
      "[-0.63105251+2.26628887e-11j -0.65622051+6.60401565e-12j\n",
      " -0.67776316+2.17147557e-12j -0.69573203+7.83741674e-13j\n",
      " -0.71024027+2.32506604e-13j -0.72144503-4.47249997e-11j\n",
      " -0.72953031-4.69237585e-12j -0.73469202+2.04061922e-11j\n",
      " -0.73712624-3.22231505e-13j -0.7370209 +2.11794036e-11j\n",
      " -0.7345504 -2.34254298e-12j -0.72987266+1.35131330e-11j\n",
      " -0.72312806-4.40603160e-11j -0.71443942+1.05044228e-10j]\n",
      "[4.66327823e-10 2.51041363e-10 1.04973049e-10 3.31761608e-11\n",
      " 7.44801702e-12 2.95197165e-10 3.32456352e-11 3.13297805e-10\n",
      " 7.77379445e-12 3.25011939e-10 2.12139613e-11 1.28544756e-10\n",
      " 4.38436902e-10 1.08965874e-09]\n",
      "[0.93979171 1.16647001 1.35529007 1.50905047 1.63068376 1.72306669\n",
      " 1.78888049 1.83052191 1.85005799 1.84921393 1.82938329 1.79165144\n",
      " 1.73682535 1.66546518]\n",
      "[8.08663296e-10 3.76307027e-10 1.46249140e-10 4.55455305e-11\n",
      " 1.05757784e-11 6.93548642e-11 6.67532106e-12 6.74208989e-11\n",
      " 3.65517428e-12 6.89574700e-11 2.31802922e-12 1.17184514e-11\n",
      " 3.24227246e-11 6.38072836e-11]\n",
      "38\n",
      "[-0.71443942+1.05044228e-10j -0.72312806-4.40603160e-11j\n",
      " -0.72987266+1.35131330e-11j -0.7345504 -2.34254298e-12j\n",
      " -0.7370209 +2.11794036e-11j -0.73712624-3.22231505e-13j\n",
      " -0.73469202+2.04061922e-11j -0.72953031-4.69237585e-12j\n",
      " -0.72144503-4.47249997e-11j -0.71024027+2.32506604e-13j\n",
      " -0.69573203+7.83741674e-13j -0.67776316+2.17147557e-12j\n",
      " -0.65622051+6.60401565e-12j -0.63105251+2.26628887e-11j]\n",
      "[1.40341664e-09 5.61405087e-10 1.63877371e-10 2.69736819e-11\n",
      " 3.44273687e-10 8.15750722e-12 3.31844883e-10 4.28555128e-11\n",
      " 3.85730340e-10 1.06582264e-11 4.78996037e-11 1.56641018e-10\n",
      " 4.01402946e-10 8.47178546e-10]\n",
      "[1.40341715e-09 5.61399387e-10 1.63878734e-10 2.69688462e-11\n",
      " 3.44278616e-10 8.15965717e-12 3.31851276e-10 4.28545949e-11\n",
      " 3.85721185e-10 1.06618690e-11 4.79033958e-11 1.56643120e-10\n",
      " 4.01406596e-10 8.47180523e-10]\n",
      "[15.28313103 15.38955114 15.47216032 15.52945407 15.55971332 15.56100353\n",
      " 15.53118869 15.46796712 15.36893705 15.23169902 15.0539994  14.83391328\n",
      " 14.57005483 14.2617923 ]\n",
      "39\n",
      "[-0.71443942+1.05044228e-10j -0.72312806-4.40603160e-11j\n",
      " -0.72987266+1.35131330e-11j -0.7345504 -2.34254298e-12j\n",
      " -0.7370209 +2.11794036e-11j -0.73712624-3.22231505e-13j\n",
      " -0.73469202+2.04061922e-11j -0.72953031-4.69237585e-12j\n",
      " -0.72144503-4.47249997e-11j -0.71024027+2.32506604e-13j\n",
      " -0.69573203+7.83741674e-13j -0.67776316+2.17147557e-12j\n",
      " -0.65622051+6.60401565e-12j -0.63105251+2.26628887e-11j]\n",
      "[1.40341422e-09 5.61405772e-10 1.63875822e-10 2.69756192e-11\n",
      " 3.44274173e-10 8.15810564e-12 3.31845222e-10 4.28586434e-11\n",
      " 3.85721185e-10 1.06618690e-11 4.79033958e-11 1.56643120e-10\n",
      " 4.01406596e-10 8.47180523e-10]\n",
      "[15.28313103 15.38955114 15.47216032 15.52945407 15.55971332 15.56100353\n",
      " 15.53118869 15.46796712 15.36893705 15.23169902 15.0539994  14.83391328\n",
      " 14.57005483 14.2617923 ]\n",
      "[1.40341780e-09 5.61403058e-10 1.63878534e-10 2.69725195e-11\n",
      " 3.44274428e-10 8.15705863e-12 3.31845690e-10 4.28543098e-11\n",
      " 3.85732938e-10 1.06568634e-11 4.79001512e-11 1.56641603e-10\n",
      " 4.01403344e-10 8.47177100e-10]\n",
      "40\n",
      "[-0.57002777-3.38864341e-12j]\n",
      "[6.0931245e-11]\n",
      "[4.2456868e-11]\n",
      "[15.25546146]\n",
      "41\n",
      "[-0.57002777-3.38864341e-12j]\n",
      "[4.2456868e-11]\n",
      "[0.36371174]\n",
      "[6.09327148e-11]\n",
      "42\n",
      "[-0.57002777-3.38864341e-12j]\n",
      "[5.3182881e-11]\n",
      "[5.31858169e-11]\n",
      "[13.51434983]\n",
      "43\n",
      "[-0.57002777-3.38864341e-12j]\n",
      "[5.31858169e-11]\n",
      "[13.51434983]\n",
      "[5.31858895e-11]\n",
      "44\n",
      "[ 0.01329621+7.23148832e-11j -0.01038892-7.30761018e-11j\n",
      " -0.03417396+7.36733427e-11j -0.058038  -7.40995808e-11j\n",
      " -0.08195968+7.43481805e-11j -0.10591719-7.44121140e-11j\n",
      " -0.12988825+7.42845569e-11j -0.15385018-7.39579471e-11j\n",
      " -0.17777985+7.34258054e-11j -0.20165372-7.26804095e-11j\n",
      " -0.22544782+7.17149844e-11j -0.24913781-7.05219781e-11j\n",
      " -0.27269896+6.90947381e-11j -0.29610616-6.74259864e-11j\n",
      " -0.31933398+6.55085822e-11j -0.34235664-6.33351628e-11j\n",
      " -0.36514808+6.08986237e-11j -0.38768197-5.81914856e-11j\n",
      " -0.40993174+5.52057925e-11j -0.43187059+3.57033532e-17j\n",
      " -0.45347158-4.83640859e-11j -0.47470762+4.44893239e-11j\n",
      " -0.49555154-4.02975303e-11j -0.51597614+3.57765733e-11j\n",
      " -0.53595423-3.09129986e-11j -0.55545866+2.56927728e-11j\n",
      " -0.57446244+3.50446028e-12j -0.59293874+3.68006312e-12j\n",
      " -0.61086098+3.86292170e-12j -0.62820292-4.05411735e-12j\n",
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      " -0.67649062+4.68239142e-12j -0.69125767-4.91220299e-12j\n",
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      " -0.8174037 +9.65948109e-17j -0.81879036+1.37537246e-16j]\n",
      "[8.33264305e-10 8.42930226e-10 8.53245723e-10 8.64119320e-10\n",
      " 8.75488959e-10 8.87285158e-10 8.99461043e-10 9.11972068e-10\n",
      " 9.24786199e-10 9.37885174e-10 9.51264365e-10 9.64918266e-10\n",
      " 9.78870129e-10 9.93139256e-10 1.00777077e-09 1.02280724e-09\n",
      " 1.03832059e-09 1.05437842e-09 1.07107630e-09 5.40257841e-15\n",
      " 1.10680850e-09 1.12609765e-09 1.14653083e-09 1.16827747e-09\n",
      " 1.19151702e-09 1.21646346e-09 2.60645978e-11 2.66120492e-11\n",
      " 2.72183245e-11 2.78840928e-11 2.86139506e-11 2.94230070e-11\n",
      " 3.03169396e-11 3.13067871e-11 3.23905932e-11 3.35818802e-11\n",
      " 3.48892179e-11 3.63190523e-11 3.78809986e-11 3.95965949e-11\n",
      " 4.14871974e-11 4.36250733e-11 4.61295023e-11 4.92528084e-11\n",
      " 5.34941441e-11 5.97965065e-11 6.96589468e-11 2.01146554e-15\n",
      " 1.97377078e-15 1.80411242e-15]\n",
      "[8.33261898e-10 8.42930876e-10 8.53243280e-10 8.64118873e-10\n",
      " 8.75486490e-10 8.87285568e-10 8.99458557e-10 9.11972384e-10\n",
      " 9.24783702e-10 9.37885411e-10 9.51261862e-10 9.64918439e-10\n",
      " 9.78867621e-10 9.93139377e-10 1.00776826e-09 1.02280610e-09\n",
      " 1.03831808e-09 1.05437847e-09 1.07107503e-09 3.66205344e-15\n",
      " 1.10680819e-09 1.12609951e-09 1.14653054e-09 1.16827337e-09\n",
      " 1.19151672e-09 1.21646083e-09 2.60591756e-11 2.66135237e-11\n",
      " 2.72129643e-11 2.78818502e-11 2.86150115e-11 2.94234327e-11\n",
      " 3.03181634e-11 3.13046053e-11 3.23913971e-11 3.35827394e-11\n",
      " 3.48904842e-11 3.63220540e-11 3.78822254e-11 3.95943788e-11\n",
      " 4.14873425e-11 4.36227790e-11 4.61266683e-11 4.92503965e-11\n",
      " 5.34956032e-11 5.97967206e-11 6.96586401e-11 2.16493490e-15\n",
      " 9.15933995e-16 1.77657367e-15]\n",
      "[6.69539626 6.40529634 6.11397263 5.82168129 5.52868402 5.23524801\n",
      " 4.94164589 4.64815563 4.35506049 4.06264887 3.77121416 3.48105465\n",
      " 3.19247327 2.90577742 2.62127874 2.33929283 2.0601389  1.78413954\n",
      " 1.51162024 1.24290904 0.97833606 0.71823301 0.46293267 0.21276827\n",
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      "46\n",
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      "47\n",
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      "48\n",
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      " 3.58036167e-15]\n",
      "[2.34109857e-10 3.21086690e-10 4.16319502e-10 5.10310308e-10\n",
      " 5.91778387e-10 6.54856377e-10 8.35107115e-10 1.56315226e-11\n",
      " 2.10542194e-11 3.08177440e-11 4.59289399e-11 1.60811313e-11\n",
      " 7.77866251e-11 9.99342303e-11 1.26020245e-10 1.41986825e-10\n",
      " 2.55676938e-10 3.32139406e-10 4.25658622e-10 1.79256338e-10\n",
      " 2.52164765e-10 3.96835446e-10 2.22044605e-15 2.22044605e-15\n",
      " 2.84355838e-15]\n",
      "[14.73008122 14.31557905 13.87994825 13.42355747 12.94677044 12.44995919\n",
      " 11.93351803 11.39787859 10.8435265  10.27102059  9.68101526  9.07428704\n",
      "  8.45176664  7.81457796  7.16408566  6.50195346  5.83021532  5.15136142\n",
      "  4.46844052  3.78517776  3.10610339  2.43667926  1.78339628  1.15379459\n",
      "  0.55633131]\n",
      "49\n",
      "[ 0.53744032-8.95818529e-12j  0.51164595+1.18254677e-11j\n",
      "  0.48444606-1.53141752e-11j  0.455839  +1.94578575e-11j\n",
      "  0.42581894-2.43564311e-11j  0.39437626+3.03725674e-11j\n",
      "  0.36149791+3.20358232e-11j  0.32716779-6.14212517e-13j\n",
      "  0.29136719+2.05528151e-12j  0.25407533-4.11289723e-12j\n",
      "  0.21527003+5.61103581e-12j  0.17492872-1.48451987e-11j\n",
      "  0.13302969-6.64606559e-12j  0.0895539 -2.16678486e-11j\n",
      "  0.04448754-3.42415328e-11j -0.00217446-3.99431052e-11j\n",
      " -0.0504235 -1.78834560e-11j -0.1002304 -1.55747996e-11j\n",
      " -0.15153594-1.50531732e-11j -0.20423797+1.15292330e-11j\n",
      " -0.2581741 +2.27295976e-12j -0.31309948-1.61334469e-11j\n",
      " -0.36865947+1.68417266e-17j -0.42435935+2.51715228e-16j\n",
      " -0.4795367 +3.87036000e-16j]\n",
      "[2.34108342e-10 3.21086690e-10 4.16321821e-10 5.10310308e-10\n",
      " 5.91781832e-10 6.54856377e-10 8.35107998e-10 1.56307966e-11\n",
      " 2.10542194e-11 3.08195744e-11 4.59289399e-11 1.60815283e-11\n",
      " 7.77889587e-11 9.99341686e-11 1.26019813e-10 1.41986211e-10\n",
      " 2.55677408e-10 3.32139406e-10 4.25660415e-10 1.79261563e-10\n",
      " 2.52164765e-10 3.96837098e-10 2.22044605e-15 2.22044605e-15\n",
      " 2.84355838e-15]\n",
      "[ 0.04121597  0.22116023  0.50447919  0.8096532   1.13764848  1.48948111\n",
      "  1.86621254  2.26894405  2.69880979  3.15696725  3.6445842   4.16282063\n",
      "  4.71280341  5.29559098  5.91212398  6.56315663  7.24916152  7.97019837\n",
      "  8.72573473  9.51440428 10.33368774 11.1795061  12.04573048 12.92364833\n",
      " 13.80149125]\n",
      "[4.25998692e-10 4.98619891e-10 5.67546036e-10 6.25165041e-10\n",
      " 6.59124976e-10 6.51642399e-10 5.90343876e-10 5.55035950e-12\n",
      " 8.13283908e-12 1.38581011e-11 2.14883866e-11 3.20553923e-11\n",
      " 3.99720201e-11 8.23756680e-11 1.29928277e-10 1.61667431e-10\n",
      " 4.61422145e-10 5.84593190e-10 7.14633747e-10 1.54618864e-10\n",
      " 2.52230329e-10 4.52912136e-10 2.22044605e-15 1.83102672e-15\n",
      " 3.66205344e-15]\n",
      "50\n",
      "[-0.4795367 +3.87036000e-16j -0.42435935+2.51715228e-16j\n",
      " -0.36865947+1.68417266e-17j -0.31309948-1.61334469e-11j\n",
      " -0.2581741 +2.27295976e-12j -0.20423797+1.15292330e-11j\n",
      " -0.15153594-1.50531732e-11j -0.1002304 -1.55747996e-11j\n",
      " -0.0504235 -1.78834560e-11j -0.00217446-3.99431052e-11j\n",
      "  0.04448754-3.42415328e-11j  0.0895539 -2.16678486e-11j\n",
      "  0.13302969-6.64606559e-12j  0.17492872-1.48451987e-11j\n",
      "  0.21527003+5.61103581e-12j  0.25407533-4.11289723e-12j\n",
      "  0.29136719+2.05528151e-12j  0.32716779-6.14212517e-13j\n",
      "  0.36149791+3.20358232e-11j  0.39437626+3.03725674e-11j\n",
      "  0.42581894-2.43564311e-11j  0.455839  +1.94578575e-11j\n",
      "  0.48444606-1.53141752e-11j  0.51164595+1.18254677e-11j\n",
      "  0.53744032-8.95818529e-12j]\n",
      "[3.58036167e-15 1.83102672e-15 2.22044605e-15 6.15370374e-11\n",
      " 5.18853748e-11 6.46307012e-11 9.61521021e-10 8.15995248e-10\n",
      " 6.66709438e-10 1.92881896e-10 1.93015404e-10 1.66026118e-10\n",
      " 1.30269920e-10 1.17442866e-10 8.88422481e-11 6.61259656e-11\n",
      " 4.67579288e-11 3.37088457e-11 1.07490896e-09 9.49192382e-10\n",
      " 8.82363082e-10 7.71772508e-10 6.36618371e-10 4.99780084e-10\n",
      " 3.76260071e-10]\n",
      "[2.22044605e-15 2.84355838e-15 4.44089210e-16 6.15356788e-11\n",
      " 5.18814150e-11 6.46314246e-11 9.61522366e-10 8.15996715e-10\n",
      " 6.66712647e-10 1.92880998e-10 1.93014471e-10 1.66026989e-10\n",
      " 1.30272399e-10 1.17440741e-10 8.88444652e-11 6.61287074e-11\n",
      " 4.67601019e-11 3.37122084e-11 1.07491200e-09 9.49191537e-10\n",
      " 8.82359235e-10 7.71770638e-10 6.36614417e-10 4.99777894e-10\n",
      " 3.76256101e-10]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252]\n",
      "51\n",
      "[-0.4795367 +3.87036000e-16j -0.42435935+2.51715228e-16j\n",
      " -0.36865947+1.68417266e-17j -0.31309948-1.61334469e-11j\n",
      " -0.2581741 +2.27295976e-12j -0.20423797+1.15292330e-11j\n",
      " -0.15153594-1.50531732e-11j -0.1002304 -1.55747996e-11j\n",
      " -0.0504235 -1.78834560e-11j -0.00217446-3.99431052e-11j\n",
      "  0.04448754-3.42415328e-11j  0.0895539 -2.16678486e-11j\n",
      "  0.13302969-6.64606559e-12j  0.17492872-1.48451987e-11j\n",
      "  0.21527003+5.61103581e-12j  0.25407533-4.11289723e-12j\n",
      "  0.29136719+2.05528151e-12j  0.32716779-6.14212517e-13j\n",
      "  0.36149791+3.20358232e-11j  0.39437626+3.03725674e-11j\n",
      "  0.42581894-2.43564311e-11j  0.455839  +1.94578575e-11j\n",
      "  0.48444606-1.53141752e-11j  0.51164595+1.18254677e-11j\n",
      "  0.53744032-8.95818529e-12j]\n",
      "[2.22044605e-15 5.77315973e-15 4.44089210e-16 6.15356788e-11\n",
      " 5.18814150e-11 6.46314246e-11 9.61522366e-10 8.15996715e-10\n",
      " 6.66712647e-10 1.92880998e-10 1.93014471e-10 1.66026989e-10\n",
      " 1.30272399e-10 1.17440741e-10 8.88444652e-11 6.61287074e-11\n",
      " 4.67601019e-11 3.37122084e-11 1.07491200e-09 9.49191537e-10\n",
      " 8.82359235e-10 7.71770638e-10 6.36614417e-10 4.99777894e-10\n",
      " 3.76256101e-10]\n",
      "[ 0.65908545  1.33490807  2.01713084  2.69764002  3.37037645  4.03099648\n",
      "  4.67650088  5.30490089  5.91494516  6.5059085   7.0774336   7.62941493\n",
      "  8.1619146   8.67510188  9.16920985  9.64450444 10.10126229 10.5397548\n",
      " 10.96023658 11.36293682 11.74805272 12.11574412 12.46612882 12.79927816\n",
      " 13.11521252]\n",
      "[3.97205465e-15 2.22044605e-15 1.33226763e-15 6.15376033e-11\n",
      " 5.18824783e-11 6.46318158e-11 9.61520439e-10 8.15994890e-10\n",
      " 6.66708996e-10 1.92879720e-10 1.93012955e-10 1.66025177e-10\n",
      " 1.30270414e-10 1.17440036e-10 8.88447242e-11 6.61267352e-11\n",
      " 4.67604442e-11 3.37103540e-11 1.07490833e-09 9.49193689e-10\n",
      " 8.82358361e-10 7.71772858e-10 6.36616958e-10 4.99779877e-10\n",
      " 3.76258581e-10]\n",
      "52\n",
      "[0.58479589-4.9017946e-12j]\n",
      "[2.85955838e-10]\n",
      "[1.03981988e-10]\n",
      "[15.49412094]\n",
      "53\n",
      "[0.58479589-4.9017946e-12j]\n",
      "[1.03980157e-10]\n",
      "[0.50649562]\n",
      "[2.85957386e-10]\n",
      "54\n",
      "[0.58479589-4.9017946e-12j]\n",
      "[1.9157843e-10]\n",
      "[1.91574459e-10]\n",
      "[13.69523257]\n",
      "55\n",
      "[0.58479589-4.9017946e-12j]\n",
      "[1.91574459e-10]\n",
      "[13.69523257]\n",
      "[1.91575425e-10]\n",
      "56\n",
      "[0.69163917+5.49308063e-13j 0.67769495-8.69090781e-13j\n",
      " 0.66214436-4.92500714e-17j 0.64504036+1.83854231e-12j\n",
      " 0.62642604-2.57364768e-12j]\n",
      "[2.94233815e-11 5.11695380e-11 8.88178420e-16 1.20087204e-10\n",
      " 1.67642957e-10]\n",
      "[9.85441462e-13 1.89561933e-12 1.98602732e-15 1.65589280e-11\n",
      " 3.41921169e-11]\n",
      "[17.22863266 17.00166097 16.74870627 16.47071827 16.16850927]\n",
      "57\n",
      "[0.69163917+5.49308063e-13j 0.67769495-8.69090781e-13j\n",
      " 0.66214436-4.92500714e-17j 0.64504036+1.83854231e-12j\n",
      " 0.62642604-2.57364768e-12j]\n",
      "[9.85441462e-13 1.89353020e-12 1.98602732e-15 1.65589280e-11\n",
      " 3.41921169e-11]\n",
      "[1.47432922 1.35469982 1.21887473 1.066577   0.89741936]\n",
      "[2.94231068e-11 5.11675994e-11 2.22044605e-15 1.20086984e-10\n",
      " 1.67642957e-10]\n",
      "58\n",
      "[0.62642604-2.57364768e-12j 0.64504036+1.83854231e-12j\n",
      " 0.66214436-4.92500714e-17j 0.67769495-8.69090781e-13j\n",
      " 0.69163917+5.49308063e-13j]\n",
      "[8.57782914e-11 5.47678740e-11 3.79429987e-15 2.00601929e-11\n",
      " 1.12675886e-11]\n",
      "[8.57743199e-11 5.47655836e-11 3.55271368e-15 2.00562300e-11\n",
      " 1.12654976e-11]\n",
      "[14.20512647 14.43311825 14.64261119 14.83307774 15.0038692 ]\n",
      "59\n",
      "[0.62642604-2.57364768e-12j 0.64504036+1.83854231e-12j\n",
      " 0.66214436-4.92500714e-17j 0.67769495-8.69090781e-13j\n",
      " 0.69163917+5.49308063e-13j]\n",
      "[8.57743199e-11 5.47655836e-11 3.55271368e-15 2.00562300e-11\n",
      " 1.12654976e-11]\n",
      "[14.20512647 14.43311825 14.64261119 14.83307774 15.0038692 ]\n",
      "[8.57752789e-11 5.47677788e-11 3.97205465e-15 2.00573109e-11\n",
      " 1.12674757e-11]\n",
      "60\n",
      "[0.63105251+2.26629050e-11j 0.65622051+6.60425279e-12j\n",
      " 0.67776316+2.17148395e-12j 0.69573203+7.83706883e-13j\n",
      " 0.71024027+2.32510482e-13j 0.72144503-4.47252455e-11j\n",
      " 0.72953031-4.69237999e-12j 0.73469202+2.04061406e-11j\n",
      " 0.73712624-3.22165637e-13j 0.7370209 +2.11794680e-11j\n",
      " 0.7345504 -2.34250025e-12j 0.72987266+1.35130270e-11j\n",
      " 0.72312806-4.40604394e-11j 0.71443942+1.05044331e-10j]\n",
      "[8.08666875e-10 3.76309731e-10 1.46251924e-10 4.55452915e-11\n",
      " 1.05773693e-11 6.93504461e-11 6.67538197e-12 6.74227381e-11\n",
      " 3.65538934e-12 6.89550245e-11 2.31907178e-12 1.17192071e-11\n",
      " 3.24193535e-11 6.38099384e-11]\n",
      "[4.66326008e-10 2.51039291e-10 1.04970862e-10 3.31739684e-11\n",
      " 7.44754701e-12 2.95196230e-10 3.32444632e-11 3.13297372e-10\n",
      " 7.77693795e-12 3.25013963e-10 2.12157839e-11 1.28544576e-10\n",
      " 4.38434822e-10 1.08965723e-09]\n",
      "[16.24358684 16.65239731 17.00277103 17.2952757  17.5315813  17.71414571\n",
      " 17.84591065 17.9300402  17.96971732 17.9680003  17.92773183 17.85149037\n",
      " 17.74157217 17.59999421]\n",
      "61\n",
      "[0.63105251+2.26629050e-11j 0.65622051+6.60425279e-12j\n",
      " 0.67776316+2.17148395e-12j 0.69573203+7.83706883e-13j\n",
      " 0.71024027+2.32510482e-13j 0.72144503-4.47252455e-11j\n",
      " 0.72953031-4.69237999e-12j 0.73469202+2.04061406e-11j\n",
      " 0.73712624-3.22165637e-13j 0.7370209 +2.11794680e-11j\n",
      " 0.7345504 -2.34250025e-12j 0.72987266+1.35130270e-11j\n",
      " 0.72312806-4.40604394e-11j 0.71443942+1.05044331e-10j]\n",
      "[4.66324696e-10 2.51043656e-10 1.04972921e-10 3.31771949e-11\n",
      " 7.44716852e-12 2.95196791e-10 3.32442501e-11 3.13299298e-10\n",
      " 7.77693795e-12 3.25012425e-10 2.12154200e-11 1.28544576e-10\n",
      " 4.38434822e-10 1.08965723e-09]\n",
      "[0.93979171 1.16647001 1.35529007 1.50905047 1.63068376 1.72306669\n",
      " 1.78888049 1.83052191 1.85005799 1.84921393 1.82938329 1.79165144\n",
      " 1.73682535 1.66546518]\n",
      "[8.08666293e-10 3.76311166e-10 1.46252411e-10 4.55442610e-11\n",
      " 1.05767082e-11 6.93506020e-11 6.67273542e-12 6.74227381e-11\n",
      " 3.65538934e-12 6.89568249e-11 2.31933339e-12 1.17205084e-11\n",
      " 3.24168364e-11 6.38122695e-11]\n",
      "62\n",
      "[0.71443942+1.05044331e-10j 0.72312806-4.40604394e-11j\n",
      " 0.72987266+1.35130270e-11j 0.7345504 -2.34250025e-12j\n",
      " 0.7370209 +2.11794680e-11j 0.73712624-3.22165637e-13j\n",
      " 0.73469202+2.04061406e-11j 0.72953031-4.69237999e-12j\n",
      " 0.72144503-4.47252455e-11j 0.71024027+2.32510482e-13j\n",
      " 0.69573203+7.83706883e-13j 0.67776316+2.17148395e-12j\n",
      " 0.65622051+6.60425279e-12j 0.63105251+2.26629050e-11j]\n",
      "[1.40341703e-09 5.61405772e-10 1.63876500e-10 2.69740209e-11\n",
      " 3.44273694e-10 8.15734365e-12 3.31842865e-10 4.28562647e-11\n",
      " 3.85728357e-10 1.06575447e-11 4.78988938e-11 1.56640398e-10\n",
      " 4.01402946e-10 8.47177662e-10]\n",
      "[1.40342031e-09 5.61405953e-10 1.63879786e-10 2.69742074e-11\n",
      " 3.44270257e-10 8.15172764e-12 3.31841112e-10 4.28531342e-11\n",
      " 3.85725349e-10 1.06531415e-11 4.78960954e-11 1.56637572e-10\n",
      " 4.01400153e-10 8.47174993e-10]\n",
      "[15.28313103 15.38955114 15.47216032 15.52945407 15.55971332 15.56100353\n",
      " 15.53118869 15.46796712 15.36893705 15.23169902 15.0539994  14.83391328\n",
      " 14.57005483 14.2617923 ]\n",
      "63\n",
      "[0.71443942+1.05044331e-10j 0.72312806-4.40604394e-11j\n",
      " 0.72987266+1.35130270e-11j 0.7345504 -2.34250025e-12j\n",
      " 0.7370209 +2.11794680e-11j 0.73712624-3.22165637e-13j\n",
      " 0.73469202+2.04061406e-11j 0.72953031-4.69237999e-12j\n",
      " 0.72144503-4.47252455e-11j 0.71024027+2.32510482e-13j\n",
      " 0.69573203+7.83706883e-13j 0.67776316+2.17148395e-12j\n",
      " 0.65622051+6.60425279e-12j 0.63105251+2.26629050e-11j]\n",
      "[1.40342031e-09 5.61405953e-10 1.63879786e-10 2.69742074e-11\n",
      " 3.44270257e-10 8.15172764e-12 3.31841112e-10 4.28531342e-11\n",
      " 3.85725349e-10 1.06531415e-11 4.78960954e-11 1.56637572e-10\n",
      " 4.01400153e-10 8.47174993e-10]\n",
      "[15.28313103 15.38955114 15.47216032 15.52945407 15.55971332 15.56100353\n",
      " 15.53118869 15.46796712 15.36893705 15.23169902 15.0539994  14.83391328\n",
      " 14.57005483 14.2617923 ]\n",
      "[1.40342061e-09 5.61403924e-10 1.63879693e-10 2.69713087e-11\n",
      " 3.44273949e-10 8.15477403e-12 3.31844477e-10 4.28526944e-11\n",
      " 3.85725488e-10 1.06551143e-11 4.78982045e-11 1.56639674e-10\n",
      " 4.01402121e-10 8.47177131e-10]\n",
      "64\n",
      "[0.57002777-3.3886857e-12j]\n",
      "[6.09328377e-11]\n",
      "[4.24542352e-11]\n",
      "[15.25546146]\n",
      "65\n",
      "[0.57002777-3.3886857e-12j]\n",
      "[4.2456868e-11]\n",
      "[0.36371174]\n",
      "[6.09346751e-11]\n",
      "66\n",
      "[0.57002777-3.3886857e-12j]\n",
      "[5.31833089e-11]\n",
      "[5.3179346e-11]\n",
      "[13.51434983]\n",
      "67\n",
      "[0.57002777-3.3886857e-12j]\n",
      "[5.3179346e-11]\n",
      "[13.51434983]\n",
      "[5.31822819e-11]\n",
      "68\n",
      "[-0.01329621-7.23149091e-11j  0.01038892+7.30760490e-11j\n",
      "  0.03417396-7.36733769e-11j  0.058038  +7.40995520e-11j\n",
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      "  0.12988825-7.42844899e-11j  0.15385018+7.39580391e-11j\n",
      "  0.17777985-7.34257311e-11j  0.20165372+7.26804438e-11j\n",
      "  0.22544782-7.17149232e-11j  0.24913781+7.05220076e-11j\n",
      "  0.27269896-6.90947528e-11j  0.29610616+6.74259699e-11j\n",
      "  0.31933398-6.55085694e-11j  0.34235664+6.33351003e-11j\n",
      "  0.36514808-6.08987986e-11j  0.38768197+5.81914356e-11j\n",
      "  0.40993174-5.52058062e-11j  0.43187059-1.63935022e-17j\n",
      "  0.45347158+4.83641774e-11j  0.47470762-4.44893852e-11j\n",
      "  0.49555154+4.02974713e-11j  0.51597614-3.57765960e-11j\n",
      "  0.53595423+3.09131259e-11j  0.55545866-2.56928338e-11j\n",
      "  0.57446244-3.50476257e-12j  0.59293874-3.68004208e-12j\n",
      "  0.61086098-3.86307189e-12j  0.62820292+4.05409807e-12j\n",
      "  0.64493869-4.25387516e-12j  0.66104288+4.46324456e-12j\n",
      "  0.67649062-4.68239769e-12j  0.69125767+4.91222217e-12j\n",
      "  0.70532047-5.15222887e-12j  0.71865625+5.40281112e-12j\n",
      "  0.73124307-5.66279140e-12j  0.74305997+5.93076628e-12j\n",
      "  0.75408699-6.20464488e-12j  0.76430526+6.48105286e-12j\n",
      "  0.77369711-6.75421175e-12j  0.78224611+7.01706953e-12j\n",
      "  0.78993717-7.25835309e-12j  0.79675656+7.46146347e-12j\n",
      "  0.80269204-7.59902088e-12j  0.80773287+7.62053122e-12j\n",
      "  0.81186986-7.42483516e-12j  0.81509545-1.14770060e-17j\n",
      "  0.8174037 -3.79927103e-17j  0.81879036-5.79419517e-17j]\n",
      "[8.33261116e-10 8.42931235e-10 8.53243658e-10 8.64120437e-10\n",
      " 8.75486662e-10 8.87286602e-10 8.99460687e-10 9.11970700e-10\n",
      " 9.24785650e-10 9.37886543e-10 9.51266193e-10 9.64920610e-10\n",
      " 9.78868326e-10 9.93140450e-10 1.00777110e-09 1.02280756e-09\n",
      " 1.03831743e-09 1.05437783e-09 1.07107566e-09 2.22044605e-15\n",
      " 1.10681007e-09 1.12610078e-09 1.14653179e-09 1.16827592e-09\n",
      " 1.19151451e-09 1.21646187e-09 2.60616615e-11 2.66112300e-11\n",
      " 2.72179049e-11 2.78809290e-11 2.86155398e-11 2.94274243e-11\n",
      " 3.03202016e-11 3.13072554e-11 3.23905388e-11 3.35827394e-11\n",
      " 3.48902916e-11 3.63192998e-11 3.78824944e-11 3.95931041e-11\n",
      " 4.14873825e-11 4.36263310e-11 4.61260395e-11 4.92493471e-11\n",
      " 5.34955220e-11 5.97978558e-11 6.96593902e-11 3.63672189e-15\n",
      " 3.58766986e-15 1.42941214e-15]\n",
      "[8.33265148e-10 8.42932533e-10 8.53246275e-10 8.64119692e-10\n",
      " 8.75490425e-10 8.87286865e-10 8.99463885e-10 9.11970980e-10\n",
      " 9.24787585e-10 9.37886753e-10 9.51261523e-10 9.64921107e-10\n",
      " 9.78871124e-10 9.93140571e-10 1.00776794e-09 1.02280764e-09\n",
      " 1.03831930e-09 1.05438189e-09 1.07107630e-09 4.44089210e-16\n",
      " 1.10681007e-09 1.12609670e-09 1.14653274e-09 1.16827809e-09\n",
      " 1.19151861e-09 1.21645936e-09 2.60654264e-11 2.66139258e-11\n",
      " 2.72170659e-11 2.78836154e-11 2.86166006e-11 2.94252156e-11\n",
      " 3.03153865e-11 3.13050736e-11 3.23888220e-11 3.35853583e-11\n",
      " 3.48924391e-11 3.63223015e-11 3.78821224e-11 3.95964119e-11\n",
      " 4.14885001e-11 4.36240366e-11 4.61272540e-11 4.92517590e-11\n",
      " 5.34959680e-11 5.97956730e-11 6.96590835e-11 9.99200722e-16\n",
      " 2.18759016e-15 1.67921232e-15]\n",
      "[6.69539626 6.40529634 6.11397263 5.82168129 5.52868402 5.23524801\n",
      " 4.94164589 4.64815563 4.35506049 4.06264887 3.77121416 3.48105465\n",
      " 3.19247327 2.90577742 2.62127874 2.33929283 2.0601389  1.78413954\n",
      " 1.51162024 1.24290904 0.97833606 0.71823301 0.46293267 0.21276827\n",
      " 0.03192708 0.27082107 0.50358293 0.72988413 0.9493992  1.16180657\n",
      " 1.36678941 1.56403657 1.75324348 1.9341131  2.10635693 2.26969599\n",
      " 2.42386182 2.56859744 2.7036584  2.82881374 2.9438469  3.04855671\n",
      " 3.14275818 3.22628342 3.29898234 3.36072335 3.41139402 3.45090162\n",
      " 3.47917351 3.49615757]\n",
      "69\n",
      "[-0.01329621-7.23149091e-11j  0.01038892+7.30760490e-11j\n",
      "  0.03417396-7.36733769e-11j  0.058038  +7.40995520e-11j\n",
      "  0.08195968-7.43481479e-11j  0.10591719+7.44121284e-11j\n",
      "  0.12988825-7.42844899e-11j  0.15385018+7.39580391e-11j\n",
      "  0.17777985-7.34257311e-11j  0.20165372+7.26804438e-11j\n",
      "  0.22544782-7.17149232e-11j  0.24913781+7.05220076e-11j\n",
      "  0.27269896-6.90947528e-11j  0.29610616+6.74259699e-11j\n",
      "  0.31933398-6.55085694e-11j  0.34235664+6.33351003e-11j\n",
      "  0.36514808-6.08987986e-11j  0.38768197+5.81914356e-11j\n",
      "  0.40993174-5.52058062e-11j  0.43187059-1.63935022e-17j\n",
      "  0.45347158+4.83641774e-11j  0.47470762-4.44893852e-11j\n",
      "  0.49555154+4.02974713e-11j  0.51597614-3.57765960e-11j\n",
      "  0.53595423+3.09131259e-11j  0.55545866-2.56928338e-11j\n",
      "  0.57446244-3.50476257e-12j  0.59293874-3.68004208e-12j\n",
      "  0.61086098-3.86307189e-12j  0.62820292+4.05409807e-12j\n",
      "  0.64493869-4.25387516e-12j  0.66104288+4.46324456e-12j\n",
      "  0.67649062-4.68239769e-12j  0.69125767+4.91222217e-12j\n",
      "  0.70532047-5.15222887e-12j  0.71865625+5.40281112e-12j\n",
      "  0.73124307-5.66279140e-12j  0.74305997+5.93076628e-12j\n",
      "  0.75408699-6.20464488e-12j  0.76430526+6.48105286e-12j\n",
      "  0.77369711-6.75421175e-12j  0.78224611+7.01706953e-12j\n",
      "  0.78993717-7.25835309e-12j  0.79675656+7.46146347e-12j\n",
      "  0.80269204-7.59902088e-12j  0.80773287+7.62053122e-12j\n",
      "  0.81186986-7.42483516e-12j  0.81509545-1.14770060e-17j\n",
      "  0.8174037 -3.79927103e-17j  0.81879036-5.79419517e-17j]\n",
      "[8.33261178e-10 8.42936378e-10 8.53246275e-10 8.64119692e-10\n",
      " 8.75490425e-10 8.87288358e-10 8.99460331e-10 9.11974490e-10\n",
      " 9.24787585e-10 9.37888017e-10 9.51258478e-10 9.64921107e-10\n",
      " 9.78871124e-10 9.93144066e-10 1.00776500e-09 1.02280764e-09\n",
      " 1.03831930e-09 1.05438189e-09 1.07107630e-09 4.44089210e-16\n",
      " 1.10680787e-09 1.12609545e-09 1.14653274e-09 1.16827809e-09\n",
      " 1.19151861e-09 1.21645936e-09 2.60654264e-11 2.66139258e-11\n",
      " 2.72170659e-11 2.78836154e-11 2.86195680e-11 2.94252156e-11\n",
      " 3.03153865e-11 3.13063587e-11 3.23905388e-11 3.35836400e-11\n",
      " 3.48954456e-11 3.63223015e-11 3.78821224e-11 3.95964119e-11\n",
      " 4.14872373e-11 4.36252807e-11 4.61292783e-11 4.92498125e-11\n",
      " 5.34948737e-11 5.97955660e-11 6.96568634e-11 4.10782519e-15\n",
      " 2.18759016e-15 1.67921232e-15]\n",
      "[6.69539626 6.40529634 6.11397263 5.82168129 5.52868402 5.23524801\n",
      " 4.94164589 4.64815563 4.35506049 4.06264887 3.77121416 3.48105465\n",
      " 3.19247327 2.90577742 2.62127874 2.33929283 2.0601389  1.78413954\n",
      " 1.51162024 1.24290904 0.97833606 0.71823301 0.46293267 0.21276827\n",
      " 0.03192708 0.27082107 0.50358293 0.72988413 0.9493992  1.16180657\n",
      " 1.36678941 1.56403657 1.75324348 1.9341131  2.10635693 2.26969599\n",
      " 2.42386182 2.56859744 2.7036584  2.82881374 2.9438469  3.04855671\n",
      " 3.14275818 3.22628342 3.29898234 3.36072335 3.41139402 3.45090162\n",
      " 3.47917351 3.49615757]\n",
      "[8.33262288e-10 8.42928808e-10 8.53241940e-10 8.64123044e-10\n",
      " 8.75486931e-10 8.87285519e-10 8.99461754e-10 9.11968207e-10\n",
      " 9.24784957e-10 9.37885516e-10 9.51266396e-10 9.64922619e-10\n",
      " 9.78868844e-10 9.93138807e-10 1.00777241e-09 1.02280918e-09\n",
      " 1.03831673e-09 1.05437815e-09 1.07107376e-09 2.22044605e-15\n",
      " 1.10681195e-09 1.12610077e-09 1.14653492e-09 1.16827626e-09\n",
      " 1.19151610e-09 1.21645905e-09 2.60631296e-11 2.66116470e-11\n",
      " 2.72200026e-11 2.78800853e-11 2.86133147e-11 2.94243642e-11\n",
      " 3.03210560e-11 3.13046452e-11 3.23892512e-11 3.35844784e-11\n",
      " 3.48885736e-11 3.63189042e-11 3.78851140e-11 3.95926792e-11\n",
      " 4.14889210e-11 4.36246723e-11 4.61244201e-11 4.92505151e-11\n",
      " 5.34959680e-11 5.97991642e-11 6.96590835e-11 3.11060638e-15\n",
      " 3.67591138e-15 2.92004617e-15]\n",
      "70\n",
      "[ 0.81879036-5.79419517e-17j  0.8174037 -3.79927103e-17j\n",
      "  0.81509545-1.14770060e-17j  0.81186986-7.42483516e-12j\n",
      "  0.80773287+7.62053122e-12j  0.80269204-7.59902088e-12j\n",
      "  0.79675656+7.46146347e-12j  0.78993717-7.25835309e-12j\n",
      "  0.78224611+7.01706953e-12j  0.77369711-6.75421175e-12j\n",
      "  0.76430526+6.48105286e-12j  0.75408699-6.20464488e-12j\n",
      "  0.74305997+5.93076628e-12j  0.73124307-5.66279140e-12j\n",
      "  0.71865625+5.40281112e-12j  0.70532047-5.15222887e-12j\n",
      "  0.69125767+4.91222217e-12j  0.67649062-4.68239769e-12j\n",
      "  0.66104288+4.46324456e-12j  0.64493869-4.25387516e-12j\n",
      "  0.62820292+4.05409807e-12j  0.61086098-3.86307189e-12j\n",
      "  0.59293874-3.68004208e-12j  0.57446244-3.50476257e-12j\n",
      "  0.55545866-2.56928338e-11j  0.53595423+3.09131259e-11j\n",
      "  0.51597614-3.57765960e-11j  0.49555154+4.02974713e-11j\n",
      "  0.47470762-4.44893852e-11j  0.45347158+4.83641774e-11j\n",
      "  0.43187059-1.63935022e-17j  0.40993174-5.52058062e-11j\n",
      "  0.38768197+5.81914356e-11j  0.36514808-6.08987986e-11j\n",
      "  0.34235664+6.33351003e-11j  0.31933398-6.55085694e-11j\n",
      "  0.29610616+6.74259699e-11j  0.27269896-6.90947528e-11j\n",
      "  0.24913781+7.05220076e-11j  0.22544782-7.17149232e-11j\n",
      "  0.20165372+7.26804438e-11j  0.17777985-7.34257311e-11j\n",
      "  0.15385018+7.39580391e-11j  0.12988825-7.42844899e-11j\n",
      "  0.10591719+7.44121284e-11j  0.08195968-7.43481479e-11j\n",
      "  0.058038  +7.40995520e-11j  0.03417396-7.36733769e-11j\n",
      "  0.01038892+7.30760490e-11j -0.01329621-7.23149091e-11j]\n",
      "[9.85322934e-16 3.58391015e-15 1.86107292e-15 6.62503050e-11\n",
      " 5.70594264e-11 5.21064778e-11 4.95377314e-11 4.81831745e-11\n",
      " 4.74242431e-11 4.69499366e-11 4.66227245e-11 4.63636895e-11\n",
      " 4.61451257e-11 4.59521430e-11 4.57753905e-11 4.56176250e-11\n",
      " 4.54760095e-11 4.53483865e-11 4.52379504e-11 4.51487376e-11\n",
      " 4.50758010e-11 4.50250572e-11 4.49993700e-11 4.49965452e-11\n",
      " 1.82238378e-09 1.81195730e-09 1.80344158e-09 1.79671856e-09\n",
      " 1.79167765e-09 1.78819251e-09 1.77635684e-15 1.78545971e-09\n",
      " 1.78598532e-09 1.78763238e-09 1.79028241e-09 1.79383176e-09\n",
      " 1.79817490e-09 1.80320124e-09 1.80881696e-09 1.81492637e-09\n",
      " 1.82143361e-09 1.82824842e-09 1.83528613e-09 1.84247263e-09\n",
      " 1.84973278e-09 1.85700197e-09 1.86421752e-09 1.87132412e-09\n",
      " 1.87827426e-09 1.88503363e-09]\n",
      "[7.91033905e-16 1.30451205e-15 9.99200722e-16 6.62496520e-11\n",
      " 5.70621544e-11 5.21076921e-11 4.95383448e-11 4.81850462e-11\n",
      " 4.74231370e-11 4.69517189e-11 4.66239614e-11 4.63620921e-11\n",
      " 4.61445016e-11 4.59500405e-11 4.57774957e-11 4.56204662e-11\n",
      " 4.54750497e-11 4.53458754e-11 4.52391102e-11 4.51462425e-11\n",
      " 4.50776310e-11 4.50275214e-11 4.49969256e-11 4.49941229e-11\n",
      " 1.82238369e-09 1.81195981e-09 1.80344122e-09 1.79672107e-09\n",
      " 1.79167197e-09 1.78819003e-09 1.77635684e-15 1.78546033e-09\n",
      " 1.78598846e-09 1.78762918e-09 1.79027938e-09 1.79383216e-09\n",
      " 1.79817265e-09 1.80320324e-09 1.80882171e-09 1.81492550e-09\n",
      " 1.82143025e-09 1.82824269e-09 1.83528657e-09 1.84247174e-09\n",
      " 1.84973371e-09 1.85700105e-09 1.86421832e-09 1.87132796e-09\n",
      " 1.87828085e-09 1.88503222e-09]\n",
      "[3.49615757 3.47917351 3.45090162 3.41139402 3.36072335 3.29898234\n",
      " 3.22628342 3.14275818 3.04855671 2.9438469  2.82881374 2.7036584\n",
      " 2.56859744 2.42386182 2.26969599 2.10635693 1.9341131  1.75324348\n",
      " 1.56403657 1.36678941 1.16180657 0.9493992  0.72988413 0.50358293\n",
      " 0.27082107 0.03192708 0.21276827 0.46293267 0.71823301 0.97833606\n",
      " 1.24290904 1.51162024 1.78413954 2.0601389  2.33929283 2.62127874\n",
      " 2.90577742 3.19247327 3.48105465 3.77121416 4.06264887 4.35506049\n",
      " 4.64815563 4.94164589 5.23524801 5.52868402 5.82168129 6.11397263\n",
      " 6.40529634 6.69539626]\n",
      "71\n",
      "[ 0.81879036-5.79419517e-17j  0.8174037 -3.79927103e-17j\n",
      "  0.81509545-1.14770060e-17j  0.81186986-7.42483516e-12j\n",
      "  0.80773287+7.62053122e-12j  0.80269204-7.59902088e-12j\n",
      "  0.79675656+7.46146347e-12j  0.78993717-7.25835309e-12j\n",
      "  0.78224611+7.01706953e-12j  0.77369711-6.75421175e-12j\n",
      "  0.76430526+6.48105286e-12j  0.75408699-6.20464488e-12j\n",
      "  0.74305997+5.93076628e-12j  0.73124307-5.66279140e-12j\n",
      "  0.71865625+5.40281112e-12j  0.70532047-5.15222887e-12j\n",
      "  0.69125767+4.91222217e-12j  0.67649062-4.68239769e-12j\n",
      "  0.66104288+4.46324456e-12j  0.64493869-4.25387516e-12j\n",
      "  0.62820292+4.05409807e-12j  0.61086098-3.86307189e-12j\n",
      "  0.59293874-3.68004208e-12j  0.57446244-3.50476257e-12j\n",
      "  0.55545866-2.56928338e-11j  0.53595423+3.09131259e-11j\n",
      "  0.51597614-3.57765960e-11j  0.49555154+4.02974713e-11j\n",
      "  0.47470762-4.44893852e-11j  0.45347158+4.83641774e-11j\n",
      "  0.43187059-1.63935022e-17j  0.40993174-5.52058062e-11j\n",
      "  0.38768197+5.81914356e-11j  0.36514808-6.08987986e-11j\n",
      "  0.34235664+6.33351003e-11j  0.31933398-6.55085694e-11j\n",
      "  0.29610616+6.74259699e-11j  0.27269896-6.90947528e-11j\n",
      "  0.24913781+7.05220076e-11j  0.22544782-7.17149232e-11j\n",
      "  0.20165372+7.26804438e-11j  0.17777985-7.34257311e-11j\n",
      "  0.15385018+7.39580391e-11j  0.12988825-7.42844899e-11j\n",
      "  0.10591719+7.44121284e-11j  0.08195968-7.43481479e-11j\n",
      "  0.058038  +7.40995520e-11j  0.03417396-7.36733769e-11j\n",
      "  0.01038892+7.30760490e-11j -0.01329621-7.23149091e-11j]\n",
      "[7.91033905e-16 3.96904731e-15 9.99200722e-16 6.62496520e-11\n",
      " 5.70621544e-11 5.21076921e-11 4.95383448e-11 4.81881501e-11\n",
      " 4.74244473e-11 4.69533428e-11 4.66220646e-11 4.63620921e-11\n",
      " 4.61445016e-11 4.59500405e-11 4.57774957e-11 4.56228132e-11\n",
      " 4.54734502e-11 4.53473994e-11 4.52363150e-11 4.51473439e-11\n",
      " 4.50784141e-11 4.50282569e-11 4.49980913e-11 4.49950010e-11\n",
      " 1.82238677e-09 1.81195828e-09 1.80344314e-09 1.79671939e-09\n",
      " 1.79167197e-09 1.78819003e-09 1.77635684e-15 1.78546033e-09\n",
      " 1.78598846e-09 1.78762918e-09 1.79027938e-09 1.79383216e-09\n",
      " 1.79817265e-09 1.80320708e-09 1.80882171e-09 1.81492550e-09\n",
      " 1.82142587e-09 1.82824269e-09 1.83528657e-09 1.84247174e-09\n",
      " 1.84973371e-09 1.85700105e-09 1.86421832e-09 1.87133224e-09\n",
      " 1.87828085e-09 1.88503222e-09]\n",
      "[3.49615757 3.47917351 3.45090162 3.41139402 3.36072335 3.29898234\n",
      " 3.22628342 3.14275818 3.04855671 2.9438469  2.82881374 2.7036584\n",
      " 2.56859744 2.42386182 2.26969599 2.10635693 1.9341131  1.75324348\n",
      " 1.56403657 1.36678941 1.16180657 0.9493992  0.72988413 0.50358293\n",
      " 0.27082107 0.03192708 0.21276827 0.46293267 0.71823301 0.97833606\n",
      " 1.24290904 1.51162024 1.78413954 2.0601389  2.33929283 2.62127874\n",
      " 2.90577742 3.19247327 3.48105465 3.77121416 4.06264887 4.35506049\n",
      " 4.64815563 4.94164589 5.23524801 5.52868402 5.82168129 6.11397263\n",
      " 6.40529634 6.69539626]\n",
      "[1.23512311e-15 2.86528431e-15 2.10942375e-15 6.62519374e-11\n",
      " 5.70586470e-11 5.21086112e-11 4.95355213e-11 4.81814009e-11\n",
      " 4.74228164e-11 4.69482336e-11 4.66239614e-11 4.63644847e-11\n",
      " 4.61441194e-11 4.59538790e-11 4.57732490e-11 4.56162839e-11\n",
      " 4.54776091e-11 4.53474722e-11 4.52388203e-11 4.51479115e-11\n",
      " 4.50759328e-11 4.50262920e-11 4.49971587e-11 4.49958866e-11\n",
      " 1.82238291e-09 1.81195950e-09 1.80344186e-09 1.79672073e-09\n",
      " 1.79167835e-09 1.78819035e-09 3.10862447e-15 1.78546071e-09\n",
      " 1.78598499e-09 1.78763359e-09 1.79027967e-09 1.79383362e-09\n",
      " 1.79817237e-09 1.80319904e-09 1.80881653e-09 1.81492898e-09\n",
      " 1.82143536e-09 1.82824930e-09 1.83528304e-09 1.84247573e-09\n",
      " 1.84972971e-09 1.85700463e-09 1.86421433e-09 1.87132250e-09\n",
      " 1.87827317e-09 1.88503644e-09]\n",
      "72\n",
      "[0.34945166-4.01630296e-11j 0.45833451+7.43171384e-11j]\n",
      "[3.44851561e-10 8.24981507e-10]\n",
      "[6.19075097e-10 1.07790788e-09]\n",
      "[11.74513122 13.4632935 ]\n",
      "73\n",
      "[0.34945166-4.01630296e-11j 0.45833451+7.43171384e-11j]\n",
      "[6.19072873e-10 1.07790788e-09]\n",
      "[2.00645362 0.78274212]\n",
      "[3.44850228e-10 8.24982453e-10]\n",
      "74\n",
      "[0.45833451+7.43171384e-11j 0.34945166-4.01630296e-11j]\n",
      "[6.5628227e-10 1.9356565e-10]\n",
      "[1.28785036e-09 7.88454639e-10]\n",
      "[0.78274212 2.00645362]\n",
      "75\n",
      "[0.45833451+7.43171384e-11j 0.34945166-4.01630296e-11j]\n",
      "[1.28785349e-09 7.88454639e-10]\n",
      "[13.4632935  11.74513122]\n",
      "[6.56282282e-10 1.93568400e-10]\n",
      "76\n",
      "[0.32379971-5.52708165e-12j 0.36273733+1.08503280e-16j\n",
      " 0.40038178-3.58243041e-12j 0.43670607+2.59513575e-10j\n",
      " 0.47168539-1.98662841e-10j 0.50529587+1.49238597e-10j]\n",
      "[4.90692317e-11 1.98602732e-15 3.32076111e-11 1.28718567e-09\n",
      " 9.87021153e-10 7.54963065e-10]\n",
      "[8.00208454e-11 4.44089210e-16 5.36042036e-11 1.96465965e-09\n",
      " 1.47390727e-09 1.09671397e-09]\n",
      "[11.34553687 11.95292682 12.54463621 13.11941663 13.67613221 14.21373762]\n",
      "77\n",
      "[0.32379971-5.52708165e-12j 0.36273733+1.08503280e-16j\n",
      " 0.40038178-3.58243041e-12j 0.43670607+2.59513575e-10j\n",
      " 0.47168539-1.98662841e-10j 0.50529587+1.49238597e-10j]\n",
      "[8.00205931e-11 4.44089210e-16 5.36022482e-11 1.96465965e-09\n",
      " 1.47390478e-09 1.09671397e-09]\n",
      "[2.30896015 1.85184997 1.42163608 1.01779236 0.63970565 0.28669869]\n",
      "[4.90675855e-11 3.66205344e-15 3.32082115e-11 1.28718784e-09\n",
      " 9.87022940e-10 7.54964109e-10]\n",
      "78\n",
      "[0.50529587+1.49238597e-10j 0.47168539-1.98662841e-10j\n",
      " 0.43670607+2.59513575e-10j 0.40038178-3.58243041e-12j\n",
      " 0.36273733+1.08503280e-16j 0.32379971-5.52708165e-12j]\n",
      "[1.21846613e-09 1.47143456e-09 1.71505579e-09 7.71257756e-11\n",
      " 2.84355838e-15 1.11420208e-10]\n",
      "[1.21846794e-09 1.47143579e-09 1.71505737e-09 7.71300277e-11\n",
      " 4.44089210e-16 1.11422502e-10]\n",
      "[0.34358228 0.75524976 1.18368315 1.62858991 2.08966625 2.56658157]\n",
      "79\n",
      "[0.50529587+1.49238597e-10j 0.47168539-1.98662841e-10j\n",
      " 0.43670607+2.59513575e-10j 0.40038178-3.58243041e-12j\n",
      " 0.36273733+1.08503280e-16j 0.32379971-5.52708165e-12j]\n",
      "[1.21846794e-09 1.47143579e-09 1.71505737e-09 7.71295807e-11\n",
      " 4.44089210e-16 1.11422502e-10]\n",
      "[0.34358228 0.75524976 1.18368315 1.62858991 2.08966625 2.56658157]\n",
      "[1.21846665e-09 1.47143731e-09 1.71505520e-09 7.71268332e-11\n",
      " 4.44089210e-16 1.11421160e-10]\n",
      "80\n",
      "[0.24217265-8.38284063e-12j]\n",
      "[6.84328844e-11]\n",
      "[1.1434858e-10]\n",
      "[10.08940915]\n",
      "81\n",
      "[0.24217265-8.38284063e-12j]\n",
      "[1.14348997e-10]\n",
      "[3.30537315]\n",
      "[6.84337343e-11]\n",
      "82\n",
      "[0.24217265-8.38284063e-12j]\n",
      "[1.56432634e-10]\n",
      "[1.56430194e-10]\n",
      "[3.56636534]\n",
      "83\n",
      "[0.24217265-8.38284063e-12j]\n",
      "[1.56432945e-10]\n",
      "[3.56636534]\n",
      "[1.56432169e-10]\n",
      "84\n",
      "[0.06521452-9.17974554e-12j 0.11101113+9.58677610e-12j\n",
      " 0.15582009-1.02834456e-11j]\n",
      "[1.46962693e-10 1.11901355e-10 9.25681035e-11]\n",
      "[2.32459861e-10 1.89145399e-10 1.59191491e-10]\n",
      "[7.46195671 8.12790958 8.78938334]\n",
      "85\n",
      "[0.06521452-9.17974554e-12j 0.11101113+9.58677610e-12j\n",
      " 0.15582009-1.02834456e-11j]\n",
      "[2.32463125e-10 1.89145399e-10 1.59191491e-10]\n",
      "[5.62703549 5.00645272 4.41219434]\n",
      "[1.46960768e-10 1.11901026e-10 9.25655532e-11]\n",
      "86\n",
      "[0.15582009-1.02834456e-11j 0.11101113+9.58677610e-12j\n",
      " 0.06521452-9.17974554e-12j]\n",
      "[2.24623777e-10 2.76319756e-10 3.42501839e-10]\n",
      "[2.24619657e-10 2.76322690e-10 3.42501690e-10]\n",
      "[4.62402776 5.17285637 5.733782  ]\n",
      "87\n",
      "[0.15582009-1.02834456e-11j 0.11101113+9.58677610e-12j\n",
      " 0.06521452-9.17974554e-12j]\n",
      "[2.24622175e-10 2.76322690e-10 3.42501690e-10]\n",
      "[4.62402776 5.17285637 5.733782  ]\n",
      "[2.24621717e-10 2.76317927e-10 3.42502361e-10]\n",
      "88\n",
      "[-0.49593275+8.80884178e-12j -0.45472497-1.15786583e-13j\n",
      " -0.41125444-4.82608248e-12j -0.36593878+1.87808162e-13j\n",
      " -0.31919702-3.32161738e-12j -0.27143159-3.95696807e-13j\n",
      " -0.22301527-1.13802202e-11j -0.17428321+4.78326749e-11j\n",
      " -0.12552937-8.22464876e-11j -0.0770064 +7.19959087e-11j\n",
      " -0.02892787-3.76716838e-11j]\n",
      "[1.40495849e-10 8.54570101e-11 8.63017320e-11 1.28253751e-10\n",
      " 1.65324480e-10 1.26731147e-10 2.57767729e-10 2.18892385e-10\n",
      " 2.90218411e-10 3.39635060e-10 2.88408943e-10]\n",
      "[1.72437848e-10 5.93239096e-11 2.10477702e-10 7.72425295e-11\n",
      " 2.16060784e-10 5.32000137e-11 2.44322459e-10 2.19863805e-10\n",
      " 3.21470279e-10 4.05143708e-10 3.75279121e-10]\n",
      "[0.38400894 0.82168438 1.29957852 1.8148091  2.36378876 2.94243727\n",
      " 3.54639343 4.17120439 4.81247928 5.46600337 6.12781465]\n",
      "89\n",
      "[-0.49593275+8.80884178e-12j -0.45472497-1.15786583e-13j\n",
      " -0.41125444-4.82608248e-12j -0.36593878+1.87808162e-13j\n",
      " -0.31919702-3.32161738e-12j -0.27143159-3.95696807e-13j\n",
      " -0.22301527-1.13802202e-11j -0.17428321+4.78326749e-11j\n",
      " -0.12552937-8.22464876e-11j -0.0770064 +7.19959087e-11j\n",
      " -0.02892787-3.76716838e-11j]\n",
      "[1.72437848e-10 5.93239096e-11 2.10477702e-10 7.72425295e-11\n",
      " 2.16060784e-10 5.32000137e-11 2.44322459e-10 2.19863805e-10\n",
      " 3.21469820e-10 4.05143708e-10 3.75280297e-10]\n",
      "[14.06372612 13.40582367 12.7163032  12.00308207 11.27407075 10.53682512\n",
      "  9.79828957  9.06463604  8.34118877  7.6324167   6.94197322]\n",
      "[1.40496785e-10 8.54570101e-11 8.63034566e-11 1.28253751e-10\n",
      " 1.65325575e-10 1.26732951e-10 2.57769714e-10 2.18891694e-10\n",
      " 2.90218411e-10 3.39636701e-10 2.88409278e-10]\n",
      "90\n",
      "[-0.02892787-3.76716838e-11j -0.0770064 +7.19959087e-11j\n",
      " -0.12552937-8.22464876e-11j -0.17428321+4.78326749e-11j\n",
      " -0.22301527-1.13802202e-11j -0.27143159-3.95696807e-13j\n",
      " -0.31919702-3.32161738e-12j -0.36593878+1.87808162e-13j\n",
      " -0.41125444-4.82608248e-12j -0.45472497-1.15786583e-13j\n",
      " -0.49593275+8.80884178e-12j]\n",
      "[4.69063382e-10 4.69561393e-10 3.63417503e-10 3.69344071e-10\n",
      " 4.42747362e-10 1.14099273e-10 2.52552365e-10 1.53078700e-10\n",
      " 3.79286170e-11 1.13664355e-10 1.21183021e-10]\n",
      "[4.69061398e-10 4.69562098e-10 3.63416656e-10 3.69347615e-10\n",
      " 4.42749070e-10 1.14104567e-10 2.52555795e-10 1.53077840e-10\n",
      " 3.79305659e-11 1.13662373e-10 1.21182543e-10]\n",
      "[ 6.88685579  7.47573072  8.07004928  8.66719556  9.26407504  9.85708723\n",
      " 10.44212724 11.01462917 11.56966394 12.10209926 12.60681999]\n",
      "91\n",
      "[-0.02892787-3.76716838e-11j -0.0770064 +7.19959087e-11j\n",
      " -0.12552937-8.22464876e-11j -0.17428321+4.78326749e-11j\n",
      " -0.22301527-1.13802202e-11j -0.27143159-3.95696807e-13j\n",
      " -0.31919702-3.32161738e-12j -0.36593878+1.87808162e-13j\n",
      " -0.41125444-4.82608248e-12j -0.45472497-1.15786583e-13j\n",
      " -0.49593275+8.80884178e-12j]\n",
      "[4.69061398e-10 4.69562098e-10 3.63416656e-10 3.69347615e-10\n",
      " 4.42749070e-10 1.14105464e-10 2.52554191e-10 1.53077840e-10\n",
      " 3.79305659e-11 1.13662373e-10 1.21182543e-10]\n",
      "[ 6.88685579  7.47573072  8.07004928  8.66719556  9.26407504  9.85708723\n",
      " 10.44212724 11.01462917 11.56966394 12.10209926 12.60681999]\n",
      "[4.69063354e-10 4.69558924e-10 3.63421096e-10 3.69343928e-10\n",
      " 4.42749359e-10 1.14098387e-10 2.52552314e-10 1.53076117e-10\n",
      " 3.79264467e-11 1.13666154e-10 1.21180318e-10]\n",
      "92\n",
      "[-0.34945166+4.01619276e-11j -0.45833451-7.43164250e-11j]\n",
      "[3.44848020e-10 8.24976052e-10]\n",
      "[6.19077000e-10 1.07791186e-09]\n",
      "[11.74513122 13.4632935 ]\n",
      "93\n",
      "[-0.34945166+4.01619276e-11j -0.45833451-7.43164250e-11j]\n",
      "[6.19075200e-10 1.07791186e-09]\n",
      "[2.00645362 0.78274212]\n",
      "[3.44847132e-10 8.24978501e-10]\n",
      "94\n",
      "[-0.45833451-7.43164250e-11j -0.34945166+4.01619276e-11j]\n",
      "[6.56285832e-10 1.93565650e-10]\n",
      "[1.28785260e-09 7.88454467e-10]\n",
      "[0.78274212 2.00645362]\n",
      "95\n",
      "[-0.45833451-7.43164250e-11j -0.34945166+4.01619276e-11j]\n",
      "[1.28785349e-09 7.88454467e-10]\n",
      "[13.4632935  11.74513122]\n",
      "[6.56285819e-10 1.93567025e-10]\n",
      "96\n",
      "[-0.32379971+5.52712989e-12j -0.36273733+3.69892359e-17j\n",
      " -0.40038178+3.58225356e-12j -0.43670607-2.59513309e-10j\n",
      " -0.47168539+1.98662794e-10j -0.50529587-1.49238461e-10j]\n",
      "[4.90646677e-11 4.44089210e-16 3.32068193e-11 1.28718558e-09\n",
      " 9.87028308e-10 7.54958886e-10]\n",
      "[8.00216578e-11 8.88178420e-16 5.36006238e-11 1.96465953e-09\n",
      " 1.47390603e-09 1.09671324e-09]\n",
      "[11.34553687 11.95292682 12.54463621 13.11941663 13.67613221 14.21373762]\n",
      "97\n",
      "[-0.32379971+5.52712989e-12j -0.36273733+3.69892359e-17j\n",
      " -0.40038178+3.58225356e-12j -0.43670607-2.59513309e-10j\n",
      " -0.47168539+1.98662794e-10j -0.50529587-1.49238461e-10j]\n",
      "[8.00249855e-11 8.88178420e-16 5.36006238e-11 1.96465953e-09\n",
      " 1.47390666e-09 1.09671324e-09]\n",
      "[2.30896015 1.85184997 1.42163608 1.01779236 0.63970565 0.28669869]\n",
      "[4.90654692e-11 2.22044605e-15 3.32048333e-11 1.28718633e-09\n",
      " 9.87024327e-10 7.54960138e-10]\n",
      "98\n",
      "[-0.50529587-1.49238461e-10j -0.47168539+1.98662794e-10j\n",
      " -0.43670607-2.59513309e-10j -0.40038178+3.58225356e-12j\n",
      " -0.36273733+3.69892359e-17j -0.32379971+5.52712989e-12j]\n",
      "[1.21846668e-09 1.47143380e-09 1.71505499e-09 7.71256229e-11\n",
      " 3.55271368e-15 1.11423209e-10]\n",
      "[1.21846433e-09 1.47143296e-09 1.71505261e-09 7.71279016e-11\n",
      " 2.51214793e-15 1.11425502e-10]\n",
      "[0.34358228 0.75524976 1.18368315 1.62858991 2.08966625 2.56658157]\n",
      "99\n",
      "[-0.50529587-1.49238461e-10j -0.47168539+1.98662794e-10j\n",
      " -0.43670607-2.59513309e-10j -0.40038178+3.58225356e-12j\n",
      " -0.36273733+3.69892359e-17j -0.32379971+5.52712989e-12j]\n",
      "[1.21846488e-09 1.47143239e-09 1.71505320e-09 7.71274437e-11\n",
      " 2.51214793e-15 1.11425502e-10]\n",
      "[0.34358228 0.75524976 1.18368315 1.62858991 2.08966625 2.56658157]\n",
      "[1.21846558e-09 1.47143494e-09 1.71505241e-09 7.71282069e-11\n",
      " 4.18952923e-15 1.11425820e-10]\n",
      "100\n",
      "[-0.24217265+8.38297364e-12j]\n",
      "[6.84378383e-11]\n",
      "[1.14348938e-10]\n",
      "[10.08940915]\n",
      "101\n",
      "[-0.24217265+8.38297364e-12j]\n",
      "[1.14349355e-10]\n",
      "[3.30537315]\n",
      "[6.84392547e-11]\n",
      "102\n",
      "[-0.24217265+8.38297364e-12j]\n",
      "[1.56430505e-10]\n",
      "[1.5643279e-10]\n",
      "[3.56636534]\n",
      "103\n",
      "[-0.24217265+8.38297364e-12j]\n",
      "[1.5643279e-10]\n",
      "[3.56636534]\n",
      "[1.564331e-10]\n",
      "104\n",
      "[-0.06521452+9.17985335e-12j -0.11101113-9.58687901e-12j\n",
      " -0.15582009+1.02834448e-11j]\n",
      "[1.46962693e-10 1.11903867e-10 9.25671471e-11]\n",
      "[2.32458688e-10 1.89145484e-10 1.59189552e-10]\n",
      "[7.46195671 8.12790958 8.78938334]\n",
      "105\n",
      "[-0.06521452+9.17985335e-12j -0.11101113-9.58687901e-12j\n",
      " -0.15582009+1.02834448e-11j]\n",
      "[2.32459736e-10 1.89145484e-10 1.59189790e-10]\n",
      "[5.62703549 5.00645272 4.41219434]\n",
      "[1.46961640e-10 1.11905755e-10 9.25664712e-11]\n",
      "106\n",
      "[-0.15582009+1.02834448e-11j -0.11101113-9.58687901e-12j\n",
      " -0.06521452+9.17985335e-12j]\n",
      "[2.24621373e-10 2.76320776e-10 3.42501913e-10]\n",
      "[2.24625264e-10 2.76323923e-10 3.42505714e-10]\n",
      "[4.62402776 5.17285637 5.733782  ]\n",
      "107\n",
      "[-0.15582009+1.02834448e-11j -0.11101113-9.58687901e-12j\n",
      " -0.06521452+9.17985335e-12j]\n",
      "[2.24625264e-10 2.76323923e-10 3.42505714e-10]\n",
      "[4.62402776 5.17285637 5.733782  ]\n",
      "[2.24622061e-10 2.76322010e-10 3.42502361e-10]\n",
      "108\n",
      "[0.02892787+3.76716115e-11j]\n",
      "[2.88410263e-10]\n",
      "[3.75277945e-10]\n",
      "[6.12781465]\n",
      "109\n",
      "[0.02892787+3.76716115e-11j]\n",
      "[3.75278533e-10]\n",
      "[6.94197322]\n",
      "[2.8841259e-10]\n",
      "110\n",
      "[0.02892787+3.76716115e-11j]\n",
      "[4.69060963e-10]\n",
      "[4.69064931e-10]\n",
      "[6.88685579]\n",
      "111\n",
      "[0.02892787+3.76716115e-11j]\n",
      "[4.69064931e-10]\n",
      "[6.88685579]\n",
      "[4.69063816e-10]\n",
      "112\n",
      "[0.49593275-8.80870703e-12j 0.45472497+1.15392805e-13j\n",
      " 0.41125444+4.82632449e-12j 0.36593878-1.87734747e-13j\n",
      " 0.31919702+3.32148093e-12j 0.27143159+3.95819293e-13j\n",
      " 0.22301527+1.13801954e-11j 0.17428321-4.78328310e-11j\n",
      " 0.12552937+8.22463972e-11j]\n",
      "[1.40499336e-10 8.54579558e-11 8.63025949e-11 1.28249097e-10\n",
      " 1.65327236e-10 1.26731325e-10 2.57767165e-10 2.18894362e-10\n",
      " 2.90221839e-10]\n",
      "[1.72438721e-10 5.93313133e-11 2.10476891e-10 7.72419548e-11\n",
      " 2.16056819e-10 5.32004550e-11 2.44323579e-10 2.19863805e-10\n",
      " 3.21473602e-10]\n",
      "[0.38400894 0.82168438 1.29957852 1.8148091  2.36378876 2.94243727\n",
      " 3.54639343 4.17120439 4.81247928]\n",
      "113\n",
      "[0.49593275-8.80870703e-12j 0.45472497+1.15392805e-13j\n",
      " 0.41125444+4.82632449e-12j 0.36593878-1.87734747e-13j\n",
      " 0.31919702+3.32148093e-12j 0.27143159+3.95819293e-13j\n",
      " 0.22301527+1.13801954e-11j 0.17428321-4.78328310e-11j\n",
      " 0.12552937+8.22463972e-11j]\n",
      "[1.72438721e-10 5.93313133e-11 2.10476891e-10 7.72419548e-11\n",
      " 2.16056819e-10 5.32004550e-11 2.44323579e-10 2.19863805e-10\n",
      " 3.21473309e-10]\n",
      "[14.06372612 13.40582367 12.7163032  12.00308207 11.27407075 10.53682512\n",
      "  9.79828957  9.06463604  8.34118877]\n",
      "[1.40500272e-10 8.54579558e-11 8.63027176e-11 1.28250239e-10\n",
      " 1.65328331e-10 1.26733130e-10 2.57767165e-10 2.18896661e-10\n",
      " 2.90217008e-10]\n",
      "114\n",
      "[0.12552937+8.22463972e-11j 0.17428321-4.78328310e-11j\n",
      " 0.22301527+1.13801954e-11j 0.27143159+3.95819293e-13j\n",
      " 0.31919702+3.32148093e-12j 0.36593878-1.87734747e-13j\n",
      " 0.41125444+4.82632449e-12j 0.45472497+1.15392805e-13j\n",
      " 0.49593275-8.80870703e-12j]\n",
      "[3.63416656e-10 3.69344922e-10 4.42747266e-10 1.14102141e-10\n",
      " 2.52550556e-10 1.53077696e-10 3.79288883e-11 1.13663905e-10\n",
      " 1.21184512e-10]\n",
      "[3.63418350e-10 3.69340952e-10 4.42743851e-10 1.14106107e-10\n",
      " 2.52548849e-10 1.53081656e-10 3.79249905e-11 1.13667868e-10\n",
      " 1.21184313e-10]\n",
      "[ 8.07004928  8.66719556  9.26407504  9.85708723 10.44212724 11.01462917\n",
      " 11.56966394 12.10209926 12.60681999]\n",
      "115\n",
      "[0.12552937+8.22463972e-11j 0.17428321-4.78328310e-11j\n",
      " 0.22301527+1.13801954e-11j 0.27143159+3.95819293e-13j\n",
      " 0.31919702+3.32148093e-12j 0.36593878-1.87734747e-13j\n",
      " 0.41125444+4.82632449e-12j 0.45472497+1.15392805e-13j\n",
      " 0.49593275-8.80870703e-12j]\n",
      "[3.63418350e-10 3.69340952e-10 4.42743851e-10 1.14106107e-10\n",
      " 2.52548849e-10 1.53081656e-10 3.79249905e-11 1.13667868e-10\n",
      " 1.21184313e-10]\n",
      "[ 8.07004928  8.66719556  9.26407504  9.85708723 10.44212724 11.01462917\n",
      " 11.56966394 12.10209926 12.60681999]\n",
      "[3.63419279e-10 3.69343645e-10 4.42745687e-10 1.14105010e-10\n",
      " 2.52550658e-10 1.53080594e-10 3.79272605e-11 1.13665255e-10\n",
      " 1.21183638e-10]\n",
      "116\n",
      "[ 0.49593275-4.50735149e-11j  0.45472497+2.73170794e-11j\n",
      "  0.41125444-1.82920123e-12j  0.36593878-1.72938911e-12j\n",
      "  0.31919702-1.56148734e-12j  0.27143159-1.35104918e-12j\n",
      "  0.22301527-1.12927164e-12j  0.17428321-9.23129510e-13j\n",
      "  0.12552937-7.49768255e-13j  0.0770064 -1.70893163e-10j\n",
      "  0.02892787-1.38187455e-10j -0.01852809-1.09670686e-10j\n",
      " -0.06521452-8.55678978e-11j -0.11101113-6.56539558e-11j\n",
      " -0.15582009-4.94752359e-11j -0.19956204-3.64881459e-11j\n",
      " -0.24217265-2.61525419e-11j -0.28359953-1.79741677e-11j\n",
      " -0.32379971-4.07827453e-10j -0.36273733+3.36673215e-17j\n",
      " -0.40038178-2.44697835e-12j -0.43670607+7.05911741e-13j\n",
      " -0.47168539+3.19551001e-12j -0.50529587+5.16172785e-12j\n",
      " -0.53751336+6.70854296e-12j -0.56831232+7.91003207e-12j\n",
      " -0.59766469+8.81193674e-12j -0.62553863+9.43968507e-12j\n",
      " -0.65189718+9.80138311e-12j -0.67669667+9.89449262e-12j\n",
      " -0.69988483+9.71140527e-12j -0.72139847+9.24605532e-12j\n",
      " -0.74116061+8.49940625e-12j -0.75907686-3.56784006e-12j\n",
      " -0.77503093+3.72384193e-12j -0.78887897+4.64886336e-12j\n",
      " -0.80044269-9.92853361e-12j -0.80950103+1.26201032e-11j\n",
      " -0.81578071-1.59718613e-11j -0.81894653+7.26298097e-12j\n",
      " -0.81859322+1.27285272e-11j -0.81424294+1.95550864e-11j\n",
      " -0.80535511+2.66645725e-11j -0.79135801+2.92554219e-11j\n",
      " -0.77171214+2.06526747e-11j -0.74600859+1.42146347e-12j\n",
      " -0.71408788-1.12567653e-11j -0.6761407 +2.52419573e-16j\n",
      " -0.63274107+2.92303772e-16j -0.58478392+3.37080930e-16j]\n",
      "[5.25046034e-10 4.79646957e-10 3.62340416e-11 2.73862037e-11\n",
      " 2.12056223e-11 1.75650853e-11 1.56723284e-11 1.45951418e-11\n",
      " 1.37450970e-11 1.24899299e-09 1.01783976e-09 8.27740705e-10\n",
      " 6.73933972e-10 5.50901516e-10 4.53252666e-10 3.76147720e-10\n",
      " 3.15463570e-10 2.67813474e-10 4.11582324e-10 3.58036167e-15\n",
      " 1.78459019e-10 1.60759034e-10 1.47082952e-10 1.36581262e-10\n",
      " 1.28561602e-10 1.22445543e-10 1.17738204e-10 1.14039331e-10\n",
      " 1.11023539e-10 1.08477698e-10 1.06261221e-10 1.04259552e-10\n",
      " 1.02265830e-10 2.00615456e-11 2.13189948e-11 8.96196955e-11\n",
      " 6.30064977e-11 8.37565721e-11 1.14364390e-10 4.51145018e-11\n",
      " 8.67473071e-11 1.57336227e-10 2.55543292e-10 3.68533957e-10\n",
      " 4.55886109e-10 4.59358044e-10 5.37264287e-10 2.22044605e-15\n",
      " 3.58036167e-15 1.83102672e-15]\n",
      "[5.25043995e-10 4.79648148e-10 3.62343564e-11 2.73885048e-11\n",
      " 2.12085970e-11 1.75686250e-11 1.56761781e-11 1.45990970e-11\n",
      " 1.37474804e-11 1.24899662e-09 1.01784225e-09 8.27744206e-10\n",
      " 6.73936427e-10 5.50904823e-10 4.53255050e-10 3.76150053e-10\n",
      " 3.15466429e-10 2.67815661e-10 4.11584917e-10 1.33226763e-15\n",
      " 1.78460958e-10 1.60760751e-10 1.47084520e-10 1.36582670e-10\n",
      " 1.28562841e-10 1.22446605e-10 1.17738741e-10 1.14035164e-10\n",
      " 1.11023996e-10 1.08478497e-10 1.06262463e-10 1.04254272e-10\n",
      " 1.02265276e-10 2.00613982e-11 2.13212743e-11 8.96195844e-11\n",
      " 6.30090274e-11 8.37555688e-11 1.14361963e-10 4.51160367e-11\n",
      " 8.67456732e-11 1.57335107e-10 2.55542215e-10 3.68538253e-10\n",
      " 4.55888615e-10 4.59361753e-10 5.37261276e-10 8.88178420e-16\n",
      " 1.33226763e-15 1.77635684e-15]\n",
      "[12.60681999 12.10209926 11.56966394 11.01462917 10.44212724  9.85708723\n",
      "  9.26407504  8.66719556  8.07004928  7.47573073  6.88685579  6.30560618\n",
      "  5.733782    5.17285637  4.62402776  4.08826806  3.56636534  3.05896097\n",
      "  2.56658157  2.08966625  1.62858991  1.18368314  0.75524975  0.34358228\n",
      "  0.05102358  0.42825512  0.78776848  1.12917377  1.45201829  1.75576716\n",
      "  2.03978016  2.30328333  2.54533372  2.76477532  2.96018373  3.12979723\n",
      "  3.27143188  3.38238007  3.45929483  3.49807038  3.49374292  3.44045992\n",
      "  3.33160013  3.16016092  2.91953457  2.60471273  2.21374179  1.74895758\n",
      "  1.21739059  0.6300024 ]\n",
      "117\n",
      "[ 0.49593275-4.50735149e-11j  0.45472497+2.73170794e-11j\n",
      "  0.41125444-1.82920123e-12j  0.36593878-1.72938911e-12j\n",
      "  0.31919702-1.56148734e-12j  0.27143159-1.35104918e-12j\n",
      "  0.22301527-1.12927164e-12j  0.17428321-9.23129510e-13j\n",
      "  0.12552937-7.49768255e-13j  0.0770064 -1.70893163e-10j\n",
      "  0.02892787-1.38187455e-10j -0.01852809-1.09670686e-10j\n",
      " -0.06521452-8.55678978e-11j -0.11101113-6.56539558e-11j\n",
      " -0.15582009-4.94752359e-11j -0.19956204-3.64881459e-11j\n",
      " -0.24217265-2.61525419e-11j -0.28359953-1.79741677e-11j\n",
      " -0.32379971-4.07827453e-10j -0.36273733+3.36673215e-17j\n",
      " -0.40038178-2.44697835e-12j -0.43670607+7.05911741e-13j\n",
      " -0.47168539+3.19551001e-12j -0.50529587+5.16172785e-12j\n",
      " -0.53751336+6.70854296e-12j -0.56831232+7.91003207e-12j\n",
      " -0.59766469+8.81193674e-12j -0.62553863+9.43968507e-12j\n",
      " -0.65189718+9.80138311e-12j -0.67669667+9.89449262e-12j\n",
      " -0.69988483+9.71140527e-12j -0.72139847+9.24605532e-12j\n",
      " -0.74116061+8.49940625e-12j -0.75907686-3.56784006e-12j\n",
      " -0.77503093+3.72384193e-12j -0.78887897+4.64886336e-12j\n",
      " -0.80044269-9.92853361e-12j -0.80950103+1.26201032e-11j\n",
      " -0.81578071-1.59718613e-11j -0.81894653+7.26298097e-12j\n",
      " -0.81859322+1.27285272e-11j -0.81424294+1.95550864e-11j\n",
      " -0.80535511+2.66645725e-11j -0.79135801+2.92554219e-11j\n",
      " -0.77171214+2.06526747e-11j -0.74600859+1.42146347e-12j\n",
      " -0.71408788-1.12567653e-11j -0.6761407 +2.52419573e-16j\n",
      " -0.63274107+2.92303772e-16j -0.58478392+3.37080930e-16j]\n",
      "[5.25043995e-10 4.79648148e-10 3.62343564e-11 2.73885048e-11\n",
      " 2.12085970e-11 1.75686250e-11 1.56761781e-11 1.45990970e-11\n",
      " 1.37474804e-11 1.24899662e-09 1.01784225e-09 8.27744206e-10\n",
      " 6.73936427e-10 5.50904823e-10 4.53255050e-10 3.76150053e-10\n",
      " 3.15466429e-10 2.67815661e-10 4.11584917e-10 1.33226763e-15\n",
      " 1.78459627e-10 1.60759362e-10 1.47082999e-10 1.36581361e-10\n",
      " 1.28561557e-10 1.22445353e-10 1.17742307e-10 1.14035164e-10\n",
      " 1.11023996e-10 1.08478497e-10 1.06262463e-10 1.04254272e-10\n",
      " 1.02265276e-10 2.00613982e-11 2.13212743e-11 8.96195844e-11\n",
      " 6.30090274e-11 8.37572220e-11 1.14363118e-10 4.51147153e-11\n",
      " 8.67468986e-11 1.57335266e-10 2.55542245e-10 3.68538253e-10\n",
      " 4.55887612e-10 4.59360771e-10 5.37261276e-10 3.99680289e-15\n",
      " 1.33226763e-15 5.32907052e-15]\n",
      "[12.60681999 12.10209926 11.56966394 11.01462917 10.44212724  9.85708723\n",
      "  9.26407504  8.66719556  8.07004928  7.47573073  6.88685579  6.30560618\n",
      "  5.733782    5.17285637  4.62402776  4.08826806  3.56636534  3.05896097\n",
      "  2.56658157  2.08966625  1.62858991  1.18368314  0.75524975  0.34358228\n",
      "  0.05102358  0.42825512  0.78776848  1.12917377  1.45201829  1.75576716\n",
      "  2.03978016  2.30328333  2.54533372  2.76477532  2.96018373  3.12979723\n",
      "  3.27143188  3.38238007  3.45929483  3.49807038  3.49374292  3.44045992\n",
      "  3.33160013  3.16016092  2.91953457  2.60471273  2.21374179  1.74895758\n",
      "  1.21739059  0.6300024 ]\n",
      "[5.25042801e-10 4.79650026e-10 3.62338121e-11 2.73865194e-11\n",
      " 2.12066517e-11 1.75650660e-11 1.56746320e-11 1.45977643e-11\n",
      " 1.37462894e-11 1.24899505e-09 1.01784187e-09 8.27743906e-10\n",
      " 6.73936215e-10 5.50904711e-10 4.53255844e-10 3.76150869e-10\n",
      " 3.15466674e-10 2.67816041e-10 4.11583107e-10 2.51214793e-15\n",
      " 1.78461681e-10 1.60761253e-10 1.47085159e-10 1.36583442e-10\n",
      " 1.28563742e-10 1.22447630e-10 1.17735849e-10 1.14040591e-10\n",
      " 1.11025734e-10 1.08480882e-10 1.06262774e-10 1.04259828e-10\n",
      " 1.02267015e-10 2.00584529e-11 2.13210794e-11 8.96203617e-11\n",
      " 6.30056154e-11 8.37559821e-11 1.14361579e-10 4.51160367e-11\n",
      " 8.67459619e-11 1.57335107e-10 2.55542215e-10 3.68534591e-10\n",
      " 4.55887446e-10 4.59360881e-10 5.37266395e-10 3.58036167e-15\n",
      " 4.18952923e-15 2.84355838e-15]\n",
      "118\n",
      "[-0.58478392+3.37080930e-16j -0.63274107+2.92303772e-16j\n",
      " -0.6761407 +2.52419573e-16j -0.71408788-1.12567653e-11j\n",
      " -0.74600859+1.42146347e-12j -0.77171214+2.06526747e-11j\n",
      " -0.79135801+2.92554219e-11j -0.80535511+2.66645725e-11j\n",
      " -0.81424294+1.95550864e-11j -0.81859322+1.27285272e-11j\n",
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      " -0.80950103+1.26201032e-11j -0.80044269-9.92853361e-12j\n",
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      " 2.46328358e-10 2.26136882e-10 1.75145197e-10 1.20016512e-10\n",
      " 7.64343495e-11 4.77245417e-11 3.79624750e-11 9.34308278e-11\n",
      " 5.97376424e-11 4.72816952e-11 1.13357248e-10 4.11447576e-11\n",
      " 4.13294648e-11 1.57493517e-10 1.71468009e-10 1.86329624e-10\n",
      " 2.02469848e-10 2.20252928e-10 2.40158247e-10 2.62888883e-10\n",
      " 2.89411846e-10 3.20970071e-10 3.59086971e-10 4.05579077e-10\n",
      " 4.62637586e-10 5.32879220e-10 7.10542736e-15 3.39781279e-09\n",
      " 8.58105095e-10 1.02029015e-09 1.21936782e-09 1.46258048e-09\n",
      " 1.75765520e-09 2.11206602e-09 2.53177979e-09 3.01924758e-09\n",
      " 3.57052348e-09 1.10405846e-10 1.36253921e-10 1.66731437e-10\n",
      " 2.01104764e-10 2.37602705e-10 2.73254536e-10 3.04027151e-10\n",
      " 3.20657211e-10 3.01045540e-10]\n",
      "[3.20237283e-15 8.88178420e-16 1.83102672e-15 6.14675061e-10\n",
      " 1.56841545e-09 1.36137012e-09 1.04786536e-09 7.14861682e-10\n",
      " 4.27242063e-10 2.06593946e-10 5.00390839e-11 1.44156204e-10\n",
      " 1.12433839e-10 8.49881464e-11 1.99835620e-10 3.22509753e-11\n",
      " 5.70880601e-11 2.79234643e-10 3.06562909e-10 3.35734215e-10\n",
      " 3.67507084e-10 4.02911308e-10 4.43307254e-10 4.90536781e-10\n",
      " 5.46811573e-10 6.14752709e-10 6.97376652e-10 7.98190229e-10\n",
      " 9.21321949e-10 1.07168917e-09 1.83102672e-15 1.99813178e-09\n",
      " 1.75157696e-09 2.08289547e-09 2.48449462e-09 2.96917540e-09\n",
      " 3.55045221e-09 4.24138947e-09 5.05247810e-09 5.98847267e-09\n",
      " 7.04372317e-09 1.11731618e-10 1.34454618e-10 1.60504910e-10\n",
      " 1.88895980e-10 2.17816306e-10 2.44721732e-10 2.66788508e-10\n",
      " 3.46174494e-10 3.64967380e-10]\n",
      "[ 0.50638072  0.95520261  1.3412385   1.66256072  1.92078876  2.12050954\n",
      "  2.26812217  2.37058753  2.4344697   2.46540106  2.46790345  2.44542892\n",
      "  2.40050139  2.33488451  2.24973888  2.1457546   2.02325753  1.88229217\n",
      "  1.72268567  1.54409726  1.34605665  1.12799452  0.88926706  0.62917649\n",
      "  0.34698885  0.04195006  0.28669869  0.63970565  1.01779236  1.42163608\n",
      "  1.85184997  2.30896015  2.79337895  3.30537315  3.84502633  4.41219434\n",
      "  5.00645272  5.6270355   6.272765    6.94197323  7.63241671  8.34118877\n",
      "  9.06463604  9.79828957 10.53682512 11.27407075 12.00308207 12.7163032\n",
      " 13.40582367 14.06372612]\n",
      "119\n",
      "[-0.58478392+3.37080930e-16j -0.63274107+2.92303772e-16j\n",
      " -0.6761407 +2.52419573e-16j -0.71408788-1.12567653e-11j\n",
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      " -0.79135801+2.92554219e-11j -0.80535511+2.66645725e-11j\n",
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      " -0.81894653+7.26298097e-12j -0.81578071-1.59718613e-11j\n",
      " -0.80950103+1.26201032e-11j -0.80044269-9.92853361e-12j\n",
      " -0.78887897+4.64886336e-12j -0.77503093+3.72384193e-12j\n",
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      " -0.56831232+7.91003207e-12j -0.53751336+6.70854296e-12j\n",
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      "  0.17428321-9.23129510e-13j  0.22301527-1.12927164e-12j\n",
      "  0.27143159-1.35104918e-12j  0.31919702-1.56148734e-12j\n",
      "  0.36593878-1.72938911e-12j  0.41125444-1.82920123e-12j\n",
      "  0.45472497+2.73170794e-11j  0.49593275-4.50735149e-11j]\n",
      "[3.20237283e-15 8.88178420e-16 1.83102672e-15 6.14675061e-10\n",
      " 1.56841545e-09 1.36137012e-09 1.04786536e-09 7.14861682e-10\n",
      " 4.27242063e-10 2.06593946e-10 5.00390839e-11 1.44153279e-10\n",
      " 1.12433839e-10 8.49881464e-11 1.99835342e-10 3.22496735e-11\n",
      " 5.70890364e-11 2.79235129e-10 3.06561545e-10 3.35734215e-10\n",
      " 3.67509474e-10 4.02912557e-10 4.43309824e-10 4.90535371e-10\n",
      " 5.46817079e-10 6.14757584e-10 6.97376652e-10 7.98192945e-10\n",
      " 9.21321182e-10 1.07169138e-09 1.83102672e-15 1.99813263e-09\n",
      " 1.75157871e-09 2.08289790e-09 2.48449586e-09 2.96917713e-09\n",
      " 3.55045306e-09 4.24139419e-09 5.05247981e-09 5.98847004e-09\n",
      " 7.04372529e-09 1.11731618e-10 1.34455129e-10 1.60504209e-10\n",
      " 1.88894615e-10 2.17816807e-10 2.44724076e-10 2.66789263e-10\n",
      " 3.46174494e-10 3.64967380e-10]\n",
      "[15.49392731 16.27099439 16.97637055 17.59426662 18.11450673 18.53353425\n",
      " 18.85377715 19.08188378 19.22668859 19.29755245 19.30330736 19.25173916\n",
      " 19.14943517 19.00183486 18.81337108 18.58763724 18.32754778 18.03547902\n",
      " 17.71338707 17.36290424 16.98541695 16.58212873 16.15411122 15.70234623\n",
      " 15.2277607  14.73125668 14.21373762 13.67613221 13.11941664 12.54463621\n",
      " 11.95292682 11.34553687 10.72385004 10.08940914  9.44394118  8.78938334\n",
      "  8.12790958  7.46195671  6.79424839  6.12781464  5.46600337  4.81247928\n",
      "  4.17120439  3.54639343  2.94243727  2.36378876  1.8148091   1.29957852\n",
      "  0.82168438  0.38400894]\n",
      "[4.44089210e-16 1.83102672e-15 2.51214793e-15 1.30344752e-09\n",
      " 2.46327500e-10 2.26135128e-10 1.75145197e-10 1.20016512e-10\n",
      " 7.64336418e-11 4.77243703e-11 3.79616217e-11 9.34279516e-11\n",
      " 5.97376424e-11 4.72827047e-11 1.13354873e-10 4.11417485e-11\n",
      " 4.13307741e-11 1.57493517e-10 1.71467167e-10 1.86326150e-10\n",
      " 2.02469597e-10 2.20254260e-10 2.40160569e-10 2.62887781e-10\n",
      " 2.89413279e-10 3.20972671e-10 3.59086542e-10 4.05579077e-10\n",
      " 4.62633240e-10 5.32879220e-10 3.66205344e-15 3.39781279e-09\n",
      " 8.58105095e-10 1.02029075e-09 1.21936741e-09 1.46258048e-09\n",
      " 1.75765377e-09 2.11206644e-09 2.53177979e-09 3.01924294e-09\n",
      " 3.57052348e-09 1.10405846e-10 1.36254059e-10 1.66731983e-10\n",
      " 2.01099643e-10 2.37605879e-10 2.73254536e-10 3.04027495e-10\n",
      " 3.20657400e-10 3.01045540e-10]\n",
      "120\n",
      "[0.01852809-1.53188570e-11j 0.06521452+9.18022383e-12j\n",
      " 0.11101113-9.58695813e-12j 0.15582009+1.02839206e-11j\n",
      " 0.19956204-9.74235129e-12j 0.24217265+8.38295542e-12j\n",
      " 0.28359953-3.55672269e-13j 0.32379971+5.52707245e-12j\n",
      " 0.36273733-7.02062585e-17j 0.40038178+3.58226971e-12j\n",
      " 0.43670607-2.59513183e-10j 0.47168539+1.98662778e-10j\n",
      " 0.50529587-1.49238765e-10j 0.53751336+1.10700749e-10j\n",
      " 0.56831232-8.14225205e-11j]\n",
      "[2.98673107e-10 2.32461821e-10 1.89145313e-10 1.59189730e-10\n",
      " 1.35099981e-10 1.14347058e-10 2.31718230e-11 8.00220361e-11\n",
      " 1.33226763e-15 5.36026265e-11 1.96465808e-09 1.47390227e-09\n",
      " 1.09671672e-09 8.11935301e-10 5.98804024e-10]\n",
      "[2.08556572e-10 1.46962693e-10 1.11902898e-10 9.25702965e-11\n",
      " 7.94085438e-11 6.84348190e-11 2.90742685e-11 4.90628298e-11\n",
      " 1.77635684e-15 3.32109893e-11 1.28718046e-09 9.87026313e-10\n",
      " 7.54964527e-10 5.76518167e-10 4.39183930e-10]\n",
      "[6.27276499 5.62703549 5.00645272 4.41219434 3.84502633 3.30537315\n",
      " 2.79337895 2.30896015 1.85184997 1.42163608 1.01779236 0.63970565\n",
      " 0.28669869 0.04195006 0.34698884]\n",
      "121\n",
      "[0.01852809-1.53188570e-11j 0.06521452+9.18022383e-12j\n",
      " 0.11101113-9.58695813e-12j 0.15582009+1.02839206e-11j\n",
      " 0.19956204-9.74235129e-12j 0.24217265+8.38295542e-12j\n",
      " 0.28359953-3.55672269e-13j 0.32379971+5.52707245e-12j\n",
      " 0.36273733-7.02062585e-17j 0.40038178+3.58226971e-12j\n",
      " 0.43670607-2.59513183e-10j 0.47168539+1.98662778e-10j\n",
      " 0.50529587-1.49238765e-10j 0.53751336+1.10700749e-10j\n",
      " 0.56831232-8.14225205e-11j]\n",
      "[2.08556572e-10 1.46963747e-10 1.11902898e-10 9.25696974e-11\n",
      " 7.94085438e-11 6.84384533e-11 2.90742685e-11 4.90624989e-11\n",
      " 1.77635684e-15 3.32096037e-11 1.28718046e-09 9.87026720e-10\n",
      " 7.54964527e-10 5.76517481e-10 4.39183930e-10]\n",
      "[ 6.79424839  7.46195671  8.12790958  8.78938334  9.44394118 10.08940915\n",
      " 10.72385004 11.34553687 11.95292682 12.54463621 13.11941663 13.67613221\n",
      " 14.21373762 14.73125667 15.22776069]\n",
      "[2.98672453e-10 2.32459206e-10 1.89145656e-10 1.59191431e-10\n",
      " 1.35100200e-10 1.14345536e-10 2.31722010e-11 8.00202778e-11\n",
      " 1.98602732e-15 5.36021537e-11 1.96465627e-09 1.47390227e-09\n",
      " 1.09671672e-09 8.11935301e-10 5.98804524e-10]\n",
      "122\n",
      "[0.56831232-8.14225205e-11j 0.53751336+1.10700749e-10j\n",
      " 0.50529587-1.49238765e-10j 0.47168539+1.98662778e-10j\n",
      " 0.43670607-2.59513183e-10j 0.40038178+3.58226971e-12j\n",
      " 0.36273733-7.02062585e-17j 0.32379971+5.52707245e-12j\n",
      " 0.28359953-3.55672269e-13j 0.24217265+8.38295542e-12j\n",
      " 0.19956204-9.74235129e-12j 0.15582009+1.02839206e-11j\n",
      " 0.11101113-9.58695813e-12j 0.06521452+9.18022383e-12j\n",
      " 0.01852809-1.53188570e-11j]\n",
      "[7.71989714e-10 9.81247145e-10 1.21846684e-09 1.47143399e-09\n",
      " 1.71505519e-09 7.71282069e-11 2.22044605e-15 1.11424002e-10\n",
      " 1.40590290e-11 1.56434299e-10 1.86147227e-10 2.24619428e-10\n",
      " 2.76319926e-10 3.42500162e-10 4.13402661e-10]\n",
      "[7.71986868e-10 9.81250014e-10 1.21846470e-09 1.47143636e-09\n",
      " 1.71505143e-09 7.71306274e-11 4.44089210e-16 1.11422661e-10\n",
      " 1.40605726e-11 1.56432945e-10 1.86151581e-10 2.24622633e-10\n",
      " 2.76324008e-10 3.42502883e-10 4.13407003e-10]\n",
      "[0.42825512 0.05102358 0.34358228 0.75524976 1.18368315 1.62858991\n",
      " 2.08966625 2.56658157 3.05896097 3.56636534 4.08826806 4.62402776\n",
      " 5.17285637 5.733782   6.30560618]\n",
      "123\n",
      "[0.56831232-8.14225205e-11j 0.53751336+1.10700749e-10j\n",
      " 0.50529587-1.49238765e-10j 0.47168539+1.98662778e-10j\n",
      " 0.43670607-2.59513183e-10j 0.40038178+3.58226971e-12j\n",
      " 0.36273733-7.02062585e-17j 0.32379971+5.52707245e-12j\n",
      " 0.28359953-3.55672269e-13j 0.24217265+8.38295542e-12j\n",
      " 0.19956204-9.74235129e-12j 0.15582009+1.02839206e-11j\n",
      " 0.11101113-9.58695813e-12j 0.06521452+9.18022383e-12j\n",
      " 0.01852809-1.53188570e-11j]\n",
      "[7.71986868e-10 9.81250014e-10 1.21846617e-09 1.47143541e-09\n",
      " 1.71505143e-09 7.71294065e-11 4.44089210e-16 1.11422661e-10\n",
      " 1.40605726e-11 1.56432945e-10 1.86152847e-10 2.24622633e-10\n",
      " 2.76324859e-10 3.42502883e-10 4.13408025e-10]\n",
      "[0.42825512 0.05102358 0.34358228 0.75524976 1.18368315 1.62858991\n",
      " 2.08966625 2.56658157 3.05896097 3.56636534 4.08826806 4.62402776\n",
      " 5.17285637 5.733782   6.30560618]\n",
      "[7.71990232e-10 9.81248242e-10 1.21846449e-09 1.47143456e-09\n",
      " 1.71505717e-09 7.71288175e-11 1.33226763e-15 1.11421391e-10\n",
      " 1.40591438e-11 1.56431703e-10 1.86146664e-10 2.24617483e-10\n",
      " 2.76319586e-10 3.42498262e-10 4.13403924e-10]\n",
      "124\n",
      "[-0.12552937+8.22459683e-11j -0.0770064 -7.19962825e-11j]\n",
      "[3.21472698e-10 4.05143462e-10]\n",
      "[2.90216834e-10 3.39639003e-10]\n",
      "[8.34118877 7.6324167 ]\n",
      "125\n",
      "[-0.12552937+8.22459683e-11j -0.0770064 -7.19962825e-11j]\n",
      "[2.90220611e-10 3.39639003e-10]\n",
      "[4.81247928 5.46600337]\n",
      "[3.21475117e-10 4.05143462e-10]\n",
      "126\n",
      "[-0.0770064 -7.19962825e-11j -0.12552937+8.22459683e-11j]\n",
      "[4.69562098e-10 3.63417018e-10]\n",
      "[4.69560313e-10 3.63417988e-10]\n",
      "[7.47573072 8.07004928]\n",
      "127\n",
      "[-0.0770064 -7.19962825e-11j -0.12552937+8.22459683e-11j]\n",
      "[4.69560313e-10 3.63417988e-10]\n",
      "[7.47573072 8.07004928]\n",
      "[4.69564567e-10 3.63413992e-10]\n",
      "128\n",
      "[-0.49593275-8.80856339e-12j -0.45472497+1.15366089e-13j\n",
      " -0.41125444+4.82623435e-12j -0.36593878-1.87615101e-13j\n",
      " -0.31919702+3.32160886e-12j -0.27143159+3.95616324e-13j\n",
      " -0.22301527+1.13801435e-11j]\n",
      "[1.72435895e-10 5.93242008e-11 2.10477778e-10 7.72458129e-11\n",
      " 2.16060393e-10 5.31986867e-11 2.44323242e-10]\n",
      "[1.40496423e-10 8.54582613e-11 8.63039500e-11 1.28248527e-10\n",
      " 1.65325575e-10 1.26729342e-10 2.57768105e-10]\n",
      "[14.06372612 13.40582367 12.7163032  12.00308207 11.27407075 10.53682512\n",
      "  9.79828957]\n",
      "129\n",
      "[-0.49593275-8.80856339e-12j -0.45472497+1.15366089e-13j\n",
      " -0.41125444+4.82623435e-12j -0.36593878-1.87615101e-13j\n",
      " -0.31919702+3.32160886e-12j -0.27143159+3.95616324e-13j\n",
      " -0.22301527+1.13801435e-11j]\n",
      "[1.40496423e-10 8.54582613e-11 8.63039500e-11 1.28248527e-10\n",
      " 1.65325575e-10 1.26729342e-10 2.57768105e-10]\n",
      "[0.38400894 0.82168438 1.29957852 1.8148091  2.36378876 2.94243727\n",
      " 3.54639343]\n",
      "[1.72438513e-10 5.93239096e-11 2.10478145e-10 7.72438013e-11\n",
      " 2.16063570e-10 5.31978010e-11 2.44325984e-10]\n",
      "130\n",
      "[-0.22301527+1.13801435e-11j -0.27143159+3.95616324e-13j\n",
      " -0.31919702+3.32160886e-12j -0.36593878-1.87615101e-13j\n",
      " -0.41125444+4.82623435e-12j -0.45472497+1.15366089e-13j\n",
      " -0.49593275-8.80856339e-12j]\n",
      "[4.42750649e-10 1.14101045e-10 2.52552399e-10 1.53078385e-10\n",
      " 3.79286170e-11 1.13663905e-10 1.21182822e-10]\n",
      "[4.42747587e-10 1.14101488e-10 2.52555983e-10 1.53076032e-10\n",
      " 3.79294807e-11 1.13661517e-10 1.21180994e-10]\n",
      "[ 9.26407504  9.85708723 10.44212724 11.01462917 11.56966394 12.10209926\n",
      " 12.60681999]\n",
      "131\n",
      "[-0.22301527+1.13801435e-11j -0.27143159+3.95616324e-13j\n",
      " -0.31919702+3.32160886e-12j -0.36593878-1.87615101e-13j\n",
      " -0.41125444+4.82623435e-12j -0.45472497+1.15366089e-13j\n",
      " -0.49593275-8.80856339e-12j]\n",
      "[4.42747587e-10 1.14101488e-10 2.52555983e-10 1.53076032e-10\n",
      " 3.79294807e-11 1.13661517e-10 1.21180994e-10]\n",
      "[ 9.26407504  9.85708723 10.44212724 11.01462917 11.56966394 12.10209926\n",
      " 12.60681999]\n",
      "[4.42750584e-10 1.14099273e-10 2.52554037e-10 1.53075258e-10\n",
      " 3.79321938e-11 1.13660574e-10 1.21185525e-10]\n",
      "132\n",
      "[-0.34945166+4.01614674e-11j -0.45833451-7.43172739e-11j]\n",
      "[3.44850235e-10 8.24981665e-10]\n",
      "[6.19077424e-10 1.07790735e-09]\n",
      "[11.74513122 13.4632935 ]\n",
      "133\n",
      "[-0.34945166+4.01614674e-11j -0.45833451-7.43172739e-11j]\n",
      "[6.19077745e-10 1.07790735e-09]\n",
      "[2.00645362 0.78274212]\n",
      "[3.44850235e-10 8.24982611e-10]\n",
      "134\n",
      "[-0.45833451-7.43172739e-11j -0.34945166+4.01614674e-11j]\n",
      "[1.28785414e-09 7.88447997e-10]\n",
      "[6.56282261e-10 1.93563494e-10]\n",
      "[13.4632935  11.74513122]\n",
      "135\n",
      "[-0.45833451-7.43172739e-11j -0.34945166+4.01614674e-11j]\n",
      "[6.56282261e-10 1.93565306e-10]\n",
      "[0.78274212 2.00645362]\n",
      "[1.28785548e-09 7.88447997e-10]\n",
      "136\n",
      "[-0.49593275-4.50731559e-11j -0.45472497+2.73171090e-11j\n",
      " -0.41125444-1.82897514e-12j -0.36593878-1.72927821e-12j\n",
      " -0.31919702-1.56131468e-12j -0.27143159-1.35104394e-12j\n",
      " -0.22301527-1.12949510e-12j -0.17428321-9.23368785e-13j\n",
      " -0.12552937-7.49563926e-13j -0.0770064 -1.70893140e-10j\n",
      " -0.02892787-1.38187437e-10j  0.01852809-1.09670524e-10j\n",
      "  0.06521452-8.55675629e-11j  0.11101113-6.56540006e-11j\n",
      "  0.15582009-4.94748751e-11j  0.19956204-3.64884143e-11j\n",
      "  0.24217265-2.61527602e-11j  0.28359953-1.79743170e-11j\n",
      "  0.32379971-1.15248570e-11j  0.36273733-1.61901316e-16j\n",
      "  0.40038178+2.44721526e-12j  0.43670607-7.05881841e-13j\n",
      "  0.47168539-3.19537873e-12j  0.50529587-5.16173878e-12j\n",
      "  0.53751336-6.70868209e-12j  0.56831232-7.90994071e-12j\n",
      "  0.59766469-8.81178925e-12j  0.62553863-9.43978412e-12j\n",
      "  0.65189718-9.80159608e-12j  0.67669667-9.89464025e-12j\n",
      "  0.69988483-9.71129253e-12j  0.72139847-9.24630767e-12j\n",
      "  0.74116061-8.49944724e-12j  0.75907686+3.56797363e-12j\n",
      "  0.77503093-3.72401394e-12j  0.78887897-4.64894102e-12j\n",
      "  0.80044269+9.92855232e-12j  0.80950103-1.26200119e-11j\n",
      "  0.81578071+1.59717697e-11j  0.81894653-7.26292491e-12j\n",
      "  0.81859322-1.27286445e-11j  0.81424294-1.95553702e-11j\n",
      "  0.80535511-2.66647948e-11j  0.79135801-2.92557158e-11j\n",
      "  0.77171214-2.06527326e-11j  0.74600859-1.42165602e-12j\n",
      "  0.71408788+1.12565707e-11j  0.6761407 -1.90224386e-16j\n",
      "  0.63274107+7.11916580e-17j  0.58478392-3.33639258e-16j]\n",
      "[5.25042049e-10 4.79650308e-10 3.62349008e-11 2.73871455e-11\n",
      " 2.12055078e-11 1.75632771e-11 1.56724231e-11 1.45949806e-11\n",
      " 1.37454944e-11 1.24899299e-09 1.01784047e-09 8.27743118e-10\n",
      " 6.73934346e-10 5.50904326e-10 4.53254252e-10 3.76148128e-10\n",
      " 3.15464407e-10 2.67814330e-10 2.30463831e-10 8.88178420e-16\n",
      " 1.78461401e-10 1.60758976e-10 1.47082755e-10 1.36583878e-10\n",
      " 1.28565882e-10 1.22446151e-10 1.17738743e-10 1.14039618e-10\n",
      " 1.11022990e-10 1.08478209e-10 1.06261376e-10 1.04259539e-10\n",
      " 1.02267925e-10 2.00613142e-11 2.13190084e-11 8.96196955e-11\n",
      " 6.30074171e-11 8.37551555e-11 1.14364075e-10 4.51160504e-11\n",
      " 8.67458569e-11 1.57338869e-10 2.55540839e-10 3.68537000e-10\n",
      " 4.55887779e-10 4.59361753e-10 5.37263384e-10 1.11022302e-15\n",
      " 2.51214793e-15 1.89714994e-15]\n",
      "[5.25038774e-10 4.79653940e-10 3.62301883e-11 2.73809806e-11\n",
      " 2.12012738e-11 1.75668616e-11 1.56727071e-11 1.45990546e-11\n",
      " 1.37437091e-11 1.24899279e-09 1.01784042e-09 8.27742881e-10\n",
      " 6.73935630e-10 5.50904487e-10 4.53253065e-10 3.76148246e-10\n",
      " 3.15467757e-10 2.67814282e-10 2.30464351e-10 1.98602732e-15\n",
      " 1.78459463e-10 1.60761524e-10 1.47082070e-10 1.36583006e-10\n",
      " 1.28561129e-10 1.22447022e-10 1.17739617e-10 1.14036911e-10\n",
      " 1.11023630e-10 1.08482191e-10 1.06262619e-10 1.04255664e-10\n",
      " 1.02266897e-10 2.00604726e-11 2.13212878e-11 8.96181976e-11\n",
      " 6.30091581e-11 8.37563954e-11 1.14362418e-10 4.51142886e-11\n",
      " 8.67484765e-11 1.57336255e-10 2.55540480e-10 3.68535671e-10\n",
      " 4.55887111e-10 4.59362191e-10 5.37262735e-10 1.99840144e-15\n",
      " 0.00000000e+00 1.11022302e-15]\n",
      "[12.60681999 12.10209926 11.56966394 11.01462917 10.44212724  9.85708723\n",
      "  9.26407504  8.66719556  8.07004928  7.47573073  6.88685579  6.30560618\n",
      "  5.733782    5.17285637  4.62402776  4.08826806  3.56636534  3.05896097\n",
      "  2.56658157  2.08966625  1.62858991  1.18368314  0.75524975  0.34358228\n",
      "  0.05102358  0.42825512  0.78776848  1.12917377  1.45201829  1.75576716\n",
      "  2.03978016  2.30328333  2.54533372  2.76477532  2.96018373  3.12979723\n",
      "  3.27143188  3.38238007  3.45929483  3.49807038  3.49374292  3.44045992\n",
      "  3.33160013  3.16016092  2.91953457  2.60471273  2.21374179  1.74895758\n",
      "  1.21739059  0.6300024 ]\n",
      "137\n",
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      "  0.15582009-4.94748751e-11j  0.19956204-3.64884143e-11j\n",
      "  0.24217265-2.61527602e-11j  0.28359953-1.79743170e-11j\n",
      "  0.32379971-1.15248570e-11j  0.36273733-1.61901316e-16j\n",
      "  0.40038178+2.44721526e-12j  0.43670607-7.05881841e-13j\n",
      "  0.47168539-3.19537873e-12j  0.50529587-5.16173878e-12j\n",
      "  0.53751336-6.70868209e-12j  0.56831232-7.90994071e-12j\n",
      "  0.59766469-8.81178925e-12j  0.62553863-9.43978412e-12j\n",
      "  0.65189718-9.80159608e-12j  0.67669667-9.89464025e-12j\n",
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      "  0.74116061-8.49944724e-12j  0.75907686+3.56797363e-12j\n",
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      "  0.80044269+9.92855232e-12j  0.80950103-1.26200119e-11j\n",
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      "  0.63274107+7.11916580e-17j  0.58478392-3.33639258e-16j]\n",
      "[5.25043511e-10 4.79649274e-10 3.62343138e-11 2.73862037e-11\n",
      " 2.12041351e-11 1.75651217e-11 1.56727071e-11 1.45990546e-11\n",
      " 1.37435084e-11 1.24899083e-09 1.01783833e-09 8.27740342e-10\n",
      " 6.73932640e-10 5.50902672e-10 4.53249493e-10 3.76148246e-10\n",
      " 3.15467757e-10 2.67814282e-10 2.30464351e-10 1.98602732e-15\n",
      " 1.78461681e-10 1.60765075e-10 1.47082070e-10 1.36583006e-10\n",
      " 1.28561129e-10 1.22450968e-10 1.17739617e-10 1.14036911e-10\n",
      " 1.11023630e-10 1.08482191e-10 1.06262619e-10 1.04255664e-10\n",
      " 1.02268082e-10 2.00583687e-11 2.13206490e-11 8.96204728e-11\n",
      " 6.30078699e-11 8.37580486e-11 1.14361382e-10 4.51156100e-11\n",
      " 8.67513357e-11 1.57336255e-10 2.55540480e-10 3.68535671e-10\n",
      " 4.55887111e-10 4.59362191e-10 5.37262735e-10 1.99840144e-15\n",
      " 0.00000000e+00 1.11022302e-15]\n",
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      "  9.26407504  8.66719556  8.07004928  7.47573073  6.88685579  6.30560618\n",
      "  5.733782    5.17285637  4.62402776  4.08826806  3.56636534  3.05896097\n",
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      "  2.03978016  2.30328333  2.54533372  2.76477532  2.96018373  3.12979723\n",
      "  3.27143188  3.38238007  3.45929483  3.49807038  3.49374292  3.44045992\n",
      "  3.33160013  3.16016092  2.91953457  2.60471273  2.21374179  1.74895758\n",
      "  1.21739059  0.6300024 ]\n",
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      " 1.37460906e-11 1.24899402e-09 1.01784152e-09 8.27743181e-10\n",
      " 6.73935468e-10 5.50905482e-10 4.53256636e-10 3.76144980e-10\n",
      " 3.15463151e-10 2.67810859e-10 2.30460868e-10 1.33226763e-15\n",
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      " 1.28566783e-10 1.22444482e-10 1.17740761e-10 1.14041651e-10\n",
      " 1.11026192e-10 1.08479689e-10 1.06263240e-10 1.04259815e-10\n",
      " 1.02265238e-10 2.00634181e-11 2.13217047e-11 8.96191403e-11\n",
      " 6.30091347e-11 8.37535024e-11 1.14365614e-10 4.51147291e-11\n",
      " 8.67449201e-11 1.57338655e-10 2.55542992e-10 3.68537696e-10\n",
      " 4.55889451e-10 4.59362081e-10 5.37263662e-10 3.02013315e-15\n",
      " 4.44089210e-16 1.55431223e-15]\n",
      "138\n",
      "[ 0.58478392-3.33639258e-16j  0.63274107+7.11916580e-17j\n",
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      "  0.56831232-7.90994071e-12j  0.53751336-6.70868209e-12j\n",
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      "[0.00000000e+00 2.51214793e-15 1.98602732e-15 1.30344764e-09\n",
      " 2.46329431e-10 2.26133801e-10 1.75145601e-10 1.20014566e-10\n",
      " 7.64331718e-11 4.77257630e-11 3.79606842e-11 9.34306345e-11\n",
      " 5.97365760e-11 4.72788979e-11 1.13356794e-10 4.11452313e-11\n",
      " 4.13344882e-11 1.57495085e-10 1.71469760e-10 1.86327670e-10\n",
      " 2.02472438e-10 2.20254672e-10 2.40158796e-10 2.62888883e-10\n",
      " 2.89413035e-10 3.20971371e-10 3.59083965e-10 4.05577445e-10\n",
      " 4.62633976e-10 5.32876130e-10 0.00000000e+00 7.26353129e-10\n",
      " 8.58102405e-10 1.02029070e-09 1.21936453e-09 1.46258156e-09\n",
      " 1.75765763e-09 2.11206770e-09 2.53178063e-09 3.01924391e-09\n",
      " 3.57052306e-09 1.10402267e-10 1.36255639e-10 1.66733561e-10\n",
      " 2.01105133e-10 2.37601733e-10 2.73249216e-10 3.04031893e-10\n",
      " 3.20652484e-10 3.01052492e-10]\n",
      "[3.97205465e-15 1.77635684e-15 3.55271368e-15 6.14675200e-10\n",
      " 1.56841467e-09 1.36136730e-09 1.04786866e-09 7.14860088e-10\n",
      " 4.27244981e-10 2.06594904e-10 5.00353514e-11 1.44152371e-10\n",
      " 1.12437374e-10 8.49879166e-11 1.99835500e-10 3.22498246e-11\n",
      " 5.70863047e-11 2.79234643e-10 3.06559440e-10 3.35734775e-10\n",
      " 3.67512637e-10 4.02904862e-10 4.43307682e-10 4.90541072e-10\n",
      " 5.46815323e-10 6.14753595e-10 6.97376232e-10 7.98186783e-10\n",
      " 9.21319171e-10 1.07169068e-09 3.66205344e-15 1.47901671e-09\n",
      " 1.75157652e-09 2.08290130e-09 2.48449662e-09 2.96917405e-09\n",
      " 3.55045953e-09 4.24139024e-09 5.05247799e-09 5.98847225e-09\n",
      " 7.04372433e-09 1.11733181e-10 1.34455214e-10 1.60505526e-10\n",
      " 1.88897462e-10 2.17815805e-10 2.44724334e-10 2.66792040e-10\n",
      " 3.46177753e-10 3.64965650e-10]\n",
      "[ 0.50638072  0.95520261  1.3412385   1.66256072  1.92078876  2.12050954\n",
      "  2.26812217  2.37058753  2.4344697   2.46540106  2.46790345  2.44542892\n",
      "  2.40050139  2.33488451  2.24973888  2.1457546   2.02325753  1.88229217\n",
      "  1.72268567  1.54409726  1.34605665  1.12799452  0.88926706  0.62917649\n",
      "  0.34698885  0.04195006  0.28669869  0.63970565  1.01779236  1.42163608\n",
      "  1.85184997  2.30896015  2.79337895  3.30537315  3.84502633  4.41219434\n",
      "  5.00645272  5.6270355   6.272765    6.94197323  7.63241671  8.34118877\n",
      "  9.06463604  9.79828957 10.53682512 11.27407075 12.00308207 12.7163032\n",
      " 13.40582367 14.06372612]\n",
      "139\n",
      "[ 0.58478392-3.33639258e-16j  0.63274107+7.11916580e-17j\n",
      "  0.6761407 -1.90224386e-16j  0.71408788+1.12565707e-11j\n",
      "  0.74600859-1.42165602e-12j  0.77171214-2.06527326e-11j\n",
      "  0.79135801-2.92557158e-11j  0.80535511-2.66647948e-11j\n",
      "  0.81424294-1.95553702e-11j  0.81859322-1.27286445e-11j\n",
      "  0.81894653-7.26292491e-12j  0.81578071+1.59717697e-11j\n",
      "  0.80950103-1.26200119e-11j  0.80044269+9.92855232e-12j\n",
      "  0.78887897-4.64894102e-12j  0.77503093-3.72401394e-12j\n",
      "  0.75907686+3.56797363e-12j  0.74116061-8.49944724e-12j\n",
      "  0.72139847-9.24630767e-12j  0.69988483-9.71129253e-12j\n",
      "  0.67669667-9.89464025e-12j  0.65189718-9.80159608e-12j\n",
      "  0.62553863-9.43978412e-12j  0.59766469-8.81178925e-12j\n",
      "  0.56831232-7.90994071e-12j  0.53751336-6.70868209e-12j\n",
      "  0.50529587-5.16173878e-12j  0.47168539-3.19537873e-12j\n",
      "  0.43670607-7.05881841e-13j  0.40038178+2.44721526e-12j\n",
      "  0.36273733-1.61901316e-16j  0.32379971-1.15248570e-11j\n",
      "  0.28359953-1.79743170e-11j  0.24217265-2.61527602e-11j\n",
      "  0.19956204-3.64884143e-11j  0.15582009-4.94748751e-11j\n",
      "  0.11101113-6.56540006e-11j  0.06521452-8.55675629e-11j\n",
      "  0.01852809-1.09670524e-10j -0.02892787-1.38187437e-10j\n",
      " -0.0770064 -1.70893140e-10j -0.12552937-7.49563926e-13j\n",
      " -0.17428321-9.23368785e-13j -0.22301527-1.12949510e-12j\n",
      " -0.27143159-1.35104394e-12j -0.31919702-1.56131468e-12j\n",
      " -0.36593878-1.72927821e-12j -0.41125444-1.82897514e-12j\n",
      " -0.45472497+2.73171090e-11j -0.49593275-4.50731559e-11j]\n",
      "[3.97205465e-15 1.77635684e-15 3.55271368e-15 6.14675200e-10\n",
      " 1.56841467e-09 1.36136730e-09 1.04786866e-09 7.14860088e-10\n",
      " 4.27244981e-10 2.06594904e-10 5.00353514e-11 1.44153077e-10\n",
      " 1.12437374e-10 8.49862880e-11 1.99836575e-10 3.22498246e-11\n",
      " 5.70863047e-11 2.79236141e-10 3.06559440e-10 3.35735735e-10\n",
      " 3.67515402e-10 4.02907775e-10 4.43311150e-10 4.90541072e-10\n",
      " 5.46815548e-10 6.14758027e-10 6.97378008e-10 7.98189499e-10\n",
      " 9.21324045e-10 1.07169068e-09 3.66205344e-15 1.47901671e-09\n",
      " 1.75157652e-09 2.08290130e-09 2.48449662e-09 2.96917405e-09\n",
      " 3.55045953e-09 4.24139024e-09 5.05247799e-09 5.98847225e-09\n",
      " 7.04372433e-09 1.11733181e-10 1.34455214e-10 1.60505526e-10\n",
      " 1.88897462e-10 2.17815805e-10 2.44724334e-10 2.66792040e-10\n",
      " 3.46176883e-10 3.64965650e-10]\n",
      "[15.49392731 16.27099439 16.97637055 17.59426662 18.11450673 18.53353425\n",
      " 18.85377715 19.08188378 19.22668859 19.29755245 19.30330736 19.25173916\n",
      " 19.14943517 19.00183486 18.81337108 18.58763724 18.32754778 18.03547902\n",
      " 17.71338707 17.36290424 16.98541695 16.58212873 16.15411122 15.70234623\n",
      " 15.2277607  14.73125668 14.21373762 13.67613221 13.11941664 12.54463621\n",
      " 11.95292682 11.34553687 10.72385004 10.08940914  9.44394118  8.78938334\n",
      "  8.12790958  7.46195671  6.79424839  6.12781464  5.46600337  4.81247928\n",
      "  4.17120439  3.54639343  2.94243727  2.36378876  1.8148091   1.29957852\n",
      "  0.82168438  0.38400894]\n",
      "[8.88178420e-16 3.58036167e-15 1.98602732e-15 1.30344764e-09\n",
      " 2.46328573e-10 2.26133373e-10 1.75145601e-10 1.20014145e-10\n",
      " 7.64325991e-11 4.77240068e-11 3.79601153e-11 9.34282054e-11\n",
      " 5.97351554e-11 4.72793167e-11 1.13355459e-10 4.11418126e-11\n",
      " 4.13344882e-11 1.57495085e-10 1.71467932e-10 1.86324195e-10\n",
      " 2.02471996e-10 2.20254672e-10 2.40161455e-10 2.62888222e-10\n",
      " 2.89413035e-10 3.20971846e-10 3.59085705e-10 4.05577445e-10\n",
      " 4.62633976e-10 5.32876130e-10 0.00000000e+00 7.26355397e-10\n",
      " 8.58104677e-10 1.02029195e-09 1.21936681e-09 1.46258317e-09\n",
      " 1.75765746e-09 2.11206896e-09 2.53178231e-09 3.01924531e-09\n",
      " 3.57052433e-09 1.10402267e-10 1.36255639e-10 1.66733561e-10\n",
      " 2.01103672e-10 2.37602826e-10 2.73249216e-10 3.04034563e-10\n",
      " 3.20652484e-10 3.01052492e-10]\n",
      "140\n",
      "[0.34945166-4.01616836e-11j 0.45833451+7.43174275e-11j]\n",
      "[3.44852893e-10 8.24976210e-10]\n",
      "[6.19076690e-10 1.07790982e-09]\n",
      "[11.74513122 13.4632935 ]\n",
      "141\n",
      "[0.34945166-4.01616836e-11j 0.45833451+7.43174275e-11j]\n",
      "[6.19075418e-10 1.07790982e-09]\n",
      "[2.00645362 0.78274212]\n",
      "[3.44851561e-10 8.24977314e-10]\n",
      "142\n",
      "[0.45833451+7.43174275e-11j 0.34945166-4.01616836e-11j]\n",
      "[1.28785151e-09 7.88446496e-10]\n",
      "[6.56282282e-10 1.93566431e-10]\n",
      "[13.4632935  11.74513122]\n",
      "143\n",
      "[0.45833451+7.43174275e-11j 0.34945166-4.01616836e-11j]\n",
      "[6.56282282e-10 1.93566431e-10]\n",
      "[0.78274212 2.00645362]\n",
      "[1.28785407e-09 7.88446496e-10]\n",
      "144\n",
      "[-0.01852809+1.53188293e-11j -0.06521452-9.18023379e-12j\n",
      " -0.11101113+9.58695579e-12j -0.15582009-1.02837815e-11j\n",
      " -0.19956204+9.74201416e-12j -0.24217265-8.38318472e-12j\n",
      " -0.28359953+3.55697677e-13j -0.32379971-5.52714698e-12j\n",
      " -0.36273733+1.90552210e-17j -0.40038178-3.58226302e-12j\n",
      " -0.43670607+2.59513404e-10j -0.47168539-1.98662805e-10j\n",
      " -0.50529587+1.49238431e-10j -0.53751336-1.10700789e-10j\n",
      " -0.56831232+8.14227047e-11j]\n",
      "[2.98673107e-10 2.32459081e-10 1.89141400e-10 1.59193013e-10\n",
      " 1.35096456e-10 1.14345536e-10 2.31695806e-11 8.00219100e-11\n",
      " 5.32907052e-15 5.36022482e-11 1.96465766e-09 1.47390561e-09\n",
      " 1.09671486e-09 8.11938898e-10 5.98804793e-10]\n",
      "[2.08553870e-10 1.46965017e-10 1.11902931e-10 9.25683455e-11\n",
      " 7.94060324e-11 6.84364703e-11 2.90749528e-11 4.90649028e-11\n",
      " 4.44089210e-16 3.32068261e-11 1.28718481e-09 9.87025715e-10\n",
      " 7.54962124e-10 5.76521919e-10 4.39187450e-10]\n",
      "[6.27276499 5.62703549 5.00645272 4.41219434 3.84502633 3.30537315\n",
      " 2.79337895 2.30896015 1.85184997 1.42163608 1.01779236 0.63970565\n",
      " 0.28669869 0.04195006 0.34698884]\n",
      "145\n",
      "[-0.01852809+1.53188293e-11j -0.06521452-9.18023379e-12j\n",
      " -0.11101113+9.58695579e-12j -0.15582009-1.02837815e-11j\n",
      " -0.19956204+9.74201416e-12j -0.24217265-8.38318472e-12j\n",
      " -0.28359953+3.55697677e-13j -0.32379971-5.52714698e-12j\n",
      " -0.36273733+1.90552210e-17j -0.40038178-3.58226302e-12j\n",
      " -0.43670607+2.59513404e-10j -0.47168539-1.98662805e-10j\n",
      " -0.50529587+1.49238431e-10j -0.53751336-1.10700789e-10j\n",
      " -0.56831232+8.14227047e-11j]\n",
      "[2.08553870e-10 1.46967232e-10 1.11902931e-10 9.25687411e-11\n",
      " 7.94060324e-11 6.84386881e-11 2.90749528e-11 4.90649028e-11\n",
      " 4.44089210e-16 3.32086074e-11 1.28718481e-09 9.87028507e-10\n",
      " 7.54962124e-10 5.76521233e-10 4.39187450e-10]\n",
      "[ 6.79424839  7.46195671  8.12790958  8.78938334  9.44394118 10.08940915\n",
      " 10.72385004 11.34553687 11.95292682 12.54463621 13.11941663 13.67613221\n",
      " 14.21373762 14.73125667 15.22776069]\n",
      "[2.98672785e-10 2.32456860e-10 1.89141656e-10 1.59194773e-10\n",
      " 1.35094857e-10 1.14343597e-10 2.31695806e-11 8.00217209e-11\n",
      " 3.66205344e-15 5.36022955e-11 1.96465627e-09 1.47390310e-09\n",
      " 1.09671365e-09 8.11938898e-10 5.98803639e-10]\n",
      "146\n",
      "[-0.56831232+8.14227047e-11j -0.53751336-1.10700789e-10j\n",
      " -0.50529587+1.49238431e-10j -0.47168539-1.98662805e-10j\n",
      " -0.43670607+2.59513404e-10j -0.40038178-3.58226302e-12j\n",
      " -0.36273733+1.90552210e-17j -0.32379971-5.52714698e-12j\n",
      " -0.28359953+3.55697677e-13j -0.24217265-8.38318472e-12j\n",
      " -0.19956204+9.74201416e-12j -0.15582009-1.02837815e-11j\n",
      " -0.11101113+9.58695579e-12j -0.06521452-9.18023379e-12j\n",
      " -0.01852809+1.53188293e-11j]\n",
      "[7.71987559e-10 9.81245516e-10 1.21846217e-09 1.47143513e-09\n",
      " 1.71505717e-09 7.71309326e-11 3.79429987e-15 1.11422819e-10\n",
      " 1.40606298e-11 1.56433566e-10 1.86146805e-10 2.24622175e-10\n",
      " 2.76321755e-10 3.42502361e-10 4.13404491e-10]\n",
      "[7.71986614e-10 9.81243001e-10 1.21846305e-09 1.47143277e-09\n",
      " 1.71505202e-09 7.71295697e-11 4.44089210e-16 1.11425502e-10\n",
      " 1.40642896e-11 1.56434609e-10 1.86150737e-10 2.24625149e-10\n",
      " 2.76323838e-10 3.42503814e-10 4.13408380e-10]\n",
      "[0.42825512 0.05102358 0.34358228 0.75524976 1.18368315 1.62858991\n",
      " 2.08966625 2.56658157 3.05896097 3.56636534 4.08826806 4.62402776\n",
      " 5.17285637 5.733782   6.30560618]\n",
      "147\n",
      "[-0.56831232+8.14227047e-11j -0.53751336-1.10700789e-10j\n",
      " -0.50529587+1.49238431e-10j -0.47168539-1.98662805e-10j\n",
      " -0.43670607+2.59513404e-10j -0.40038178-3.58226302e-12j\n",
      " -0.36273733+1.90552210e-17j -0.32379971-5.52714698e-12j\n",
      " -0.28359953+3.55697677e-13j -0.24217265-8.38318472e-12j\n",
      " -0.19956204+9.74201416e-12j -0.15582009-1.02837815e-11j\n",
      " -0.11101113+9.58695579e-12j -0.06521452-9.18023379e-12j\n",
      " -0.01852809+1.53188293e-11j]\n",
      "[7.71986614e-10 9.81241584e-10 1.21846397e-09 1.47143323e-09\n",
      " 1.71505202e-09 7.71295697e-11 4.44089210e-16 1.11425502e-10\n",
      " 1.40642896e-11 1.56434609e-10 1.86150737e-10 2.24625149e-10\n",
      " 2.76323838e-10 3.42503814e-10 4.13408380e-10]\n",
      "[0.42825512 0.05102358 0.34358228 0.75524976 1.18368315 1.62858991\n",
      " 2.08966625 2.56658157 3.05896097 3.56636534 4.08826806 4.62402776\n",
      " 5.17285637 5.733782   6.30560618]\n",
      "[7.71988596e-10 9.81246225e-10 1.21846323e-09 1.47143589e-09\n",
      " 1.71505757e-09 7.71300169e-11 3.79429987e-15 1.11423526e-10\n",
      " 1.40625743e-11 1.56432634e-10 1.86149334e-10 2.24621488e-10\n",
      " 2.76322265e-10 3.42501913e-10 4.13406890e-10]\n",
      "148\n",
      "[0.12552937-8.22463466e-11j 0.0770064 +7.19959625e-11j]\n",
      "[3.21474837e-10 4.05136302e-10]\n",
      "[2.90217008e-10 3.39638593e-10]\n",
      "[8.34118877 7.6324167 ]\n",
      "149\n",
      "[0.12552937-8.22463466e-11j 0.0770064 +7.19959625e-11j]\n",
      "[2.90217008e-10 3.39638593e-10]\n",
      "[4.81247928 5.46600337]\n",
      "[3.21475142e-10 4.05136302e-10]\n",
      "150\n",
      "[0.0770064 +7.19959625e-11j 0.12552937-8.22463466e-11j]\n",
      "[4.69558924e-10 3.63417059e-10]\n",
      "[4.69562494e-10 3.63415242e-10]\n",
      "[7.47573072 8.07004928]\n",
      "151\n",
      "[0.0770064 +7.19959625e-11j 0.12552937-8.22463466e-11j]\n",
      "[4.69562494e-10 3.63415242e-10]\n",
      "[7.47573072 8.07004928]\n",
      "[4.69561040e-10 3.63414354e-10]\n",
      "152\n",
      "[0.49593275+8.80861514e-12j 0.45472497-1.15592698e-13j\n",
      " 0.41125444-4.82632726e-12j 0.36593878+1.87503512e-13j\n",
      " 0.31919702-3.32164759e-12j 0.27143159-3.95837017e-13j\n",
      " 0.22301527-1.13804039e-11j]\n",
      "[1.72435563e-10 5.93247830e-11 2.10475927e-10 7.72493836e-11\n",
      " 2.16059598e-10 5.32001598e-11 2.44323971e-10]\n",
      "[1.40497230e-10 8.54588918e-11 8.63014865e-11 1.28250677e-10\n",
      " 1.65325494e-10 1.26729520e-10 2.57767353e-10]\n",
      "[14.06372612 13.40582367 12.7163032  12.00308207 11.27407075 10.53682512\n",
      "  9.79828957]\n",
      "153\n",
      "[0.49593275+8.80861514e-12j 0.45472497-1.15592698e-13j\n",
      " 0.41125444-4.82632726e-12j 0.36593878+1.87503512e-13j\n",
      " 0.31919702-3.32164759e-12j 0.27143159-3.95837017e-13j\n",
      " 0.22301527-1.13804039e-11j]\n",
      "[1.40497230e-10 8.54588918e-11 8.63014865e-11 1.28250677e-10\n",
      " 1.65325494e-10 1.26729520e-10 2.57767353e-10]\n",
      "[0.38400894 0.82168438 1.29957852 1.8148091  2.36378876 2.94243727\n",
      " 3.54639343]\n",
      "[1.72437308e-10 5.93247830e-11 2.10475927e-10 7.72460178e-11\n",
      " 2.16061182e-10 5.31967663e-11 2.44324754e-10]\n",
      "154\n",
      "[0.22301527-1.13804039e-11j 0.27143159-3.95837017e-13j\n",
      " 0.31919702-3.32164759e-12j 0.36593878+1.87503512e-13j\n",
      " 0.41125444-4.82632726e-12j 0.45472497-1.15592698e-13j\n",
      " 0.49593275+8.80861514e-12j]\n",
      "[4.42749262e-10 1.14101709e-10 2.52554225e-10 1.53079532e-10\n",
      " 3.79267179e-11 1.13665480e-10 1.21180994e-10]\n",
      "[4.42745590e-10 1.14103903e-10 2.52550607e-10 1.53081656e-10\n",
      " 3.79249905e-11 1.13667643e-10 1.21184651e-10]\n",
      "[ 9.26407504  9.85708723 10.44212724 11.01462917 11.56966394 12.10209926\n",
      " 12.60681999]\n",
      "155\n",
      "[0.22301527-1.13804039e-11j 0.27143159-3.95837017e-13j\n",
      " 0.31919702-3.32164759e-12j 0.36593878+1.87503512e-13j\n",
      " 0.41125444-4.82632726e-12j 0.45472497-1.15592698e-13j\n",
      " 0.49593275+8.80861514e-12j]\n",
      "[4.42745590e-10 1.14103903e-10 2.52550607e-10 1.53081656e-10\n",
      " 3.79249905e-11 1.13667643e-10 1.21184651e-10]\n",
      "[ 9.26407504  9.85708723 10.44212724 11.01462917 11.56966394 12.10209926\n",
      " 12.60681999]\n",
      "[4.42747298e-10 1.14101920e-10 2.52552331e-10 1.53077926e-10\n",
      " 3.79258044e-11 1.13663905e-10 1.21184512e-10]\n",
      "156\n",
      "[0.17835433-8.87468848e-11j 0.34945166-4.01628944e-11j\n",
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      "[3.24104360e-10 3.44852905e-10 8.24978028e-10 2.68877240e-11]\n",
      "[4.11837706 2.00645362 0.78274212 0.10375843]\n",
      "157\n",
      "[0.17835433-8.87468848e-11j 0.34945166-4.01628944e-11j\n",
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      "[3.24104360e-10 3.44852905e-10 8.24978186e-10 2.68891648e-11]\n",
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      "[4.00749871e-10 6.19073401e-10 1.07791122e-09 6.95844666e-11]\n",
      "158\n",
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      "[14.83055288 13.4632935  11.74513122  9.12553402]\n",
      "159\n",
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      "160\n",
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      "[ 9.12553402 11.74513122 13.4632935  14.83055288]\n",
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      "162\n",
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      "165\n",
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      "174\n",
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      " 15.2277607  14.73125668 14.21373762 13.67613221 13.11941664 12.54463621\n",
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      "  4.17120439  3.54639343  2.94243727  2.36378876  1.8148091   1.29957852\n",
      "  0.82168438  0.38400894]\n",
      "175\n",
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      " 3.46179712e-10 3.64967364e-10]\n",
      "176\n",
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      " 1.02266541e-10 2.00598414e-11 2.13220039e-11 8.96184475e-11\n",
      " 6.30058067e-11 8.37571704e-11 1.14360857e-10 4.51170274e-11\n",
      " 8.67467504e-11 1.57336796e-10 2.55541467e-10 3.68535348e-10\n",
      " 4.55888365e-10 4.59359735e-10 5.37261508e-10 3.66205344e-15\n",
      " 1.98602732e-15 3.38936379e-15]\n",
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      "  1.21739059  0.6300024 ]\n",
      "177\n",
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      " 3.15463989e-10 2.67814758e-10 2.30460518e-10 2.22044605e-15\n",
      " 1.78463538e-10 1.60758532e-10 1.47080989e-10 1.36585087e-10\n",
      " 1.28566648e-10 1.22444899e-10 1.17741366e-10 1.14035071e-10\n",
      " 1.11027015e-10 1.08475877e-10 1.06263733e-10 1.04258685e-10\n",
      " 1.02266541e-10 2.00598414e-11 2.13220039e-11 8.96184475e-11\n",
      " 6.30058067e-11 8.37571704e-11 1.14360857e-10 4.51170274e-11\n",
      " 8.67467504e-11 1.57336796e-10 2.55542902e-10 3.68537087e-10\n",
      " 4.55887361e-10 4.59359517e-10 5.37262157e-10 3.66205344e-15\n",
      " 4.78298717e-15 5.99520433e-15]\n",
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      "  5.733782    5.17285637  4.62402776  4.08826806  3.56636534  3.05896097\n",
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      "  3.33160013  3.16016092  2.91953457  2.60471273  2.21374179  1.74895758\n",
      "  1.21739059  0.6300024 ]\n",
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      " 2.12058514e-11 1.75633090e-11 1.56714770e-11 1.45967543e-11\n",
      " 1.37456951e-11 1.24899710e-09 1.01784220e-09 8.27743244e-10\n",
      " 6.73937337e-10 5.50907024e-10 4.53256236e-10 3.76150578e-10\n",
      " 3.15467930e-10 2.67815138e-10 2.30464956e-10 2.22044605e-15\n",
      " 1.78464343e-10 1.60762083e-10 1.47086680e-10 1.36583006e-10\n",
      " 1.28559845e-10 1.22448237e-10 1.17739011e-10 1.14041071e-10\n",
      " 1.11022258e-10 1.08479519e-10 1.06261531e-10 1.04255664e-10\n",
      " 1.02270177e-10 2.00620925e-11 2.13218090e-11 8.96202784e-11\n",
      " 6.30058301e-11 8.37575837e-11 1.14362247e-10 4.51174678e-11\n",
      " 8.67493700e-11 1.57339569e-10 2.55538955e-10 3.68532914e-10\n",
      " 4.55887196e-10 4.59360607e-10 5.37262503e-10 3.79429987e-15\n",
      " 3.10862447e-15 1.11022302e-15]\n",
      "178\n",
      "[ 0.58478392-2.24979657e-16j  0.63274107+8.75402267e-17j\n",
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      " 9.21320057e-10 1.07169306e-09 2.22044605e-15 1.47901583e-09\n",
      " 1.75157827e-09 2.08290086e-09 2.48449424e-09 2.96917205e-09\n",
      " 3.55045866e-09 4.24139036e-09 5.05247896e-09 5.98847225e-09\n",
      " 7.04372741e-09 1.11731488e-10 1.34455214e-10 1.60507460e-10\n",
      " 1.88895864e-10 2.17817509e-10 2.44724076e-10 2.66785478e-10\n",
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      "[1.77635684e-15 2.22044605e-15 1.33226763e-15 1.30344954e-09\n",
      " 2.46330719e-10 2.26135942e-10 1.75149009e-10 1.20020609e-10\n",
      " 7.64372776e-11 4.77266889e-11 3.79601153e-11 9.34322509e-11\n",
      " 5.97358657e-11 4.72799824e-11 1.13354140e-10 4.11422927e-11\n",
      " 4.13326573e-11 1.57496252e-10 1.71467932e-10 1.86329471e-10\n",
      " 2.02471113e-10 2.20253308e-10 2.40158923e-10 2.62888662e-10\n",
      " 2.89413035e-10 3.20970938e-10 3.59085683e-10 4.05579576e-10\n",
      " 4.62634087e-10 5.32875288e-10 1.98602732e-15 7.26353129e-10\n",
      " 8.58106767e-10 1.02028866e-09 1.21936597e-09 1.46258401e-09\n",
      " 1.75765662e-09 2.11206786e-09 2.53177543e-09 3.01924334e-09\n",
      " 3.57052379e-09 1.10402273e-10 1.36257495e-10 1.66733925e-10\n",
      " 2.01105133e-10 2.37604170e-10 2.73251824e-10 3.04034563e-10\n",
      " 3.20654281e-10 3.01052440e-10]\n",
      "[15.49392731 16.27099439 16.97637055 17.59426662 18.11450673 18.53353425\n",
      " 18.85377715 19.08188378 19.22668859 19.29755245 19.30330736 19.25173916\n",
      " 19.14943517 19.00183486 18.81337108 18.58763724 18.32754778 18.03547902\n",
      " 17.71338707 17.36290424 16.98541695 16.58212873 16.15411122 15.70234623\n",
      " 15.2277607  14.73125668 14.21373762 13.67613221 13.11941664 12.54463621\n",
      " 11.95292682 11.34553687 10.72385004 10.08940914  9.44394118  8.78938334\n",
      "  8.12790958  7.46195671  6.79424839  6.12781464  5.46600337  4.81247928\n",
      "  4.17120439  3.54639343  2.94243727  2.36378876  1.8148091   1.29957852\n",
      "  0.82168438  0.38400894]\n",
      "179\n",
      "[ 0.58478392-2.24979657e-16j  0.63274107+8.75402267e-17j\n",
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      "  0.75907686+3.56804805e-12j  0.74116061-8.49952999e-12j\n",
      "  0.72139847-9.24626431e-12j  0.69988483-9.71134115e-12j\n",
      "  0.67669667-9.89434084e-12j  0.65189718-9.80140414e-12j\n",
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      "  0.56831232-7.90975330e-12j  0.53751336-6.70864176e-12j\n",
      "  0.50529587-5.16157228e-12j  0.47168539-3.19540402e-12j\n",
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      "[1.77635684e-15 2.22044605e-15 2.51214793e-15 1.30344954e-09\n",
      " 2.46327311e-10 2.26132088e-10 1.75147265e-10 1.20018027e-10\n",
      " 7.64359648e-11 4.77266889e-11 3.79606842e-11 9.34322509e-11\n",
      " 5.97348002e-11 4.72799824e-11 1.13354140e-10 4.11422927e-11\n",
      " 4.13326573e-11 1.57496252e-10 1.71467932e-10 1.86329471e-10\n",
      " 2.02471113e-10 2.20253308e-10 2.40158923e-10 2.62888662e-10\n",
      " 2.89413035e-10 3.20970938e-10 3.59085683e-10 4.05579576e-10\n",
      " 4.62634087e-10 5.32875288e-10 1.98602732e-15 7.26353129e-10\n",
      " 8.58106767e-10 1.02028866e-09 1.21936597e-09 1.46258401e-09\n",
      " 1.75765662e-09 2.11206786e-09 2.53177543e-09 3.01924334e-09\n",
      " 3.57052379e-09 1.10402273e-10 1.36257495e-10 1.66733925e-10\n",
      " 2.01105133e-10 2.37604170e-10 2.73251824e-10 3.04034563e-10\n",
      " 3.20653240e-10 3.01052440e-10]\n",
      "[ 0.50638072  0.95520261  1.3412385   1.66256072  1.92078876  2.12050954\n",
      "  2.26812217  2.37058753  2.4344697   2.46540106  2.46790345  2.44542892\n",
      "  2.40050139  2.33488451  2.24973888  2.1457546   2.02325753  1.88229217\n",
      "  1.72268567  1.54409726  1.34605665  1.12799452  0.88926706  0.62917649\n",
      "  0.34698885  0.04195006  0.28669869  0.63970565  1.01779236  1.42163608\n",
      "  1.85184997  2.30896015  2.79337895  3.30537315  3.84502633  4.41219434\n",
      "  5.00645272  5.6270355   6.272765    6.94197323  7.63241671  8.34118877\n",
      "  9.06463604  9.79828957 10.53682512 11.27407075 12.00308207 12.7163032\n",
      " 13.40582367 14.06372612]\n",
      "[6.16948447e-15 3.79429987e-15 3.79429987e-15 6.14674222e-10\n",
      " 1.56842004e-09 1.36137009e-09 1.04786690e-09 7.14861860e-10\n",
      " 4.27239236e-10 2.06597060e-10 5.00334085e-11 1.44152749e-10\n",
      " 1.12435615e-10 8.49880375e-11 1.99833571e-10 3.22517889e-11\n",
      " 5.70875096e-11 2.79239735e-10 3.06564103e-10 3.35738139e-10\n",
      " 3.67516211e-10 4.02909856e-10 4.43312863e-10 4.90542786e-10\n",
      " 5.46818192e-10 6.14755811e-10 6.97379785e-10 7.98190778e-10\n",
      " 9.21324164e-10 1.07169483e-09 4.72073305e-15 1.47901638e-09\n",
      " 1.75157946e-09 2.08290304e-09 2.48449809e-09 2.96917459e-09\n",
      " 3.55045866e-09 4.24139291e-09 5.05248061e-09 5.98847412e-09\n",
      " 7.04372868e-09 1.11729731e-10 1.34455726e-10 1.60505834e-10\n",
      " 1.88894498e-10 2.17818386e-10 2.44726163e-10 2.66789011e-10\n",
      " 3.46177899e-10 3.64966517e-10]\n",
      "180\n",
      "[7.85109108+7.42042212e-11j 7.87435554-7.21962118e-11j\n",
      " 7.89744098+7.00583070e-11j 7.92032879-6.77956126e-11j\n",
      " 7.94300078+6.54141408e-11j 7.96543923-6.29180191e-11j\n",
      " 7.98762689+6.03127106e-11j 8.00954691-5.76021839e-11j\n",
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      "184\n",
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      "185\n",
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      "186\n",
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      "198\n",
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      " 1.78739459 1.1670267 ]\n",
      "199\n",
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      " 7.48067005e-10 5.01825814e-12]\n",
      "200\n",
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      "201\n",
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      "203\n",
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      "204\n",
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      "208\n",
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      "209\n",
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      "210\n",
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      " 1.87828217e-09 1.88505006e-09]\n",
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      " 79.78958265 79.93431827 80.08848409 80.25182315 80.42406699 80.60493661\n",
      " 80.79414351 80.99139067 81.19637352 81.40878089 81.62829596 81.85459715\n",
      " 82.08735901 82.326253   82.57094835 82.82111275 83.07641309 83.33651614\n",
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      " 87.00633571 87.29982596 87.59342809 87.8868641  88.17986137 88.47215271\n",
      " 88.76347642 89.05357634]\n",
      "211\n",
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      " 1.87828752e-09 1.88504311e-09]\n",
      "212\n",
      "[-0.35253462+1.35483421e-10j]\n",
      "[5.73141292e-10]\n",
      "[5.81508317e-10]\n",
      "[2.21463096]\n",
      "213\n",
      "[-0.35253462+1.35483421e-10j]\n",
      "[5.81508317e-10]\n",
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      "214\n",
      "[-0.35253462+1.35483421e-10j]\n",
      "[4.95095108e-10]\n",
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      "215\n",
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      " -0.6689896 +5.80444618e-11j -0.65967913-5.27275814e-11j\n",
      " -0.64979804+4.73259845e-11j -0.63935199-4.19318858e-11j\n",
      " -0.62834703+3.66036983e-11j -0.61678954-3.13783793e-11j\n",
      " -0.60468626+2.62759556e-11j -0.59204432-2.13063391e-11j\n",
      " -0.57887119+1.64721203e-11j -0.56517471-1.17721790e-11j\n",
      " -0.55096311+7.20158343e-12j -0.53624496-2.75599113e-12j\n",
      " -0.52102925-1.57091216e-12j -0.50532533+5.78542365e-12j\n",
      " -0.48914291-9.89167509e-12j -0.47249212+1.38959748e-11j\n",
      " -0.45538348+4.11066640e-17j -0.43782787+2.16116977e-11j\n",
      " -0.41983662-2.53302168e-11j -0.40142141+2.89585306e-11j\n",
      " -0.38259435-3.24984484e-11j -0.36336796+3.59504507e-11j\n",
      " -0.34375517-3.93147853e-11j -0.32376933+4.25913312e-11j\n",
      " -0.30342421-4.57788638e-11j -0.28273399+4.88758028e-11j\n",
      " -0.26171331-5.18804663e-11j -0.2403772 +5.47900772e-11j\n",
      " -0.21874117-5.76020085e-11j -0.19682114+6.03125340e-11j\n",
      " -0.17463349-6.29179625e-11j -0.15219503+6.54139441e-11j\n",
      " -0.12952304-6.77957999e-11j -0.10663524+7.00583479e-11j\n",
      " -0.08354979-7.21965945e-11j -0.06028534+7.42039899e-11j]\n",
      "[3.44865121e-15 2.32418767e-15 3.77516643e-15 6.67016807e-11\n",
      " 5.72134472e-11 5.20756944e-11 4.94705635e-11 4.82061536e-11\n",
      " 4.76390520e-11 4.74176090e-11 2.36793616e-09 2.31139888e-09\n",
      " 2.26537391e-09 2.22690934e-09 2.19419224e-09 2.16606631e-09\n",
      " 2.14174898e-09 2.12068053e-09 2.10242689e-09 2.08663380e-09\n",
      " 2.07300106e-09 2.06126910e-09 2.05120067e-09 2.04258538e-09\n",
      " 2.03523703e-09 2.02897688e-09 2.02364736e-09 2.01911597e-09\n",
      " 2.01523836e-09 2.01190091e-09 1.77635684e-15 2.00640558e-09\n",
      " 2.00405745e-09 2.00186437e-09 1.99974092e-09 1.99763116e-09\n",
      " 1.99545634e-09 1.99316725e-09 1.99070885e-09 1.98803487e-09\n",
      " 1.98510840e-09 1.98188830e-09 1.97835017e-09 1.97446410e-09\n",
      " 1.97021554e-09 1.96558106e-09 1.96056116e-09 1.95514540e-09\n",
      " 1.94934067e-09 1.94315246e-09]\n",
      "[4.27239818e-15 5.22424525e-15 4.05231404e-15 6.67004059e-11\n",
      " 5.72076172e-11 5.20776467e-11 4.94661638e-11 4.82096190e-11\n",
      " 4.76304839e-11 4.74196032e-11 2.36793272e-09 2.31139704e-09\n",
      " 2.26537215e-09 2.22690581e-09 2.19418862e-09 2.16606467e-09\n",
      " 2.14174886e-09 2.12068069e-09 2.10242487e-09 2.08663230e-09\n",
      " 2.07299897e-09 2.06126618e-09 2.05119703e-09 2.04258410e-09\n",
      " 2.03523324e-09 2.02897571e-09 2.02365286e-09 2.01911479e-09\n",
      " 2.01523368e-09 2.01189861e-09 3.55271368e-15 2.00640642e-09\n",
      " 2.00405687e-09 2.00186366e-09 1.99974657e-09 1.99762972e-09\n",
      " 1.99545165e-09 1.99316733e-09 1.99070420e-09 1.98803630e-09\n",
      " 1.98510520e-09 1.98188894e-09 1.97834604e-09 1.97446502e-09\n",
      " 1.97021112e-09 1.96558226e-09 1.96055625e-09 1.95514622e-09\n",
      " 1.94933919e-09 1.94315029e-09]\n",
      "[15.56037847 15.54909502 15.53029617 15.50399231 15.47019793 15.42893171\n",
      " 15.3802165  15.3240793  15.2605513  15.18966787 15.11146862 15.02599733\n",
      " 14.93330206 14.83343509 14.72645299 14.61241661 14.49139111 14.36344599\n",
      " 14.22865513 14.08709678 13.93885359 13.78401268 13.62266566 13.4549086\n",
      " 13.28084217 13.10057159 12.9142067  12.72186201 12.5236567  12.31971472\n",
      " 12.11016479 11.89514045 11.67478012 11.44922712 11.21862975 10.98314132\n",
      " 10.7429202  10.49812986 10.24893892  9.99552123  9.73805587  9.47672722\n",
      "  9.211725    8.94324434  8.67148578  8.39665533  8.11896449  7.83863033\n",
      "  7.55587543  7.270928  ]\n",
      "223\n",
      "[-0.73707521-1.46226988e-16j -0.73615398-1.52408954e-16j\n",
      " -0.73461915-2.34176515e-16j -0.73247158+4.74236363e-12j\n",
      " -0.72971245-4.89046938e-12j -0.72634328+4.91385722e-12j\n",
      " -0.72236594-4.87240774e-12j -0.71778263+4.79525792e-12j\n",
      " -0.7125959 -4.69748296e-12j -0.70680865+4.58688325e-12j\n",
      " -0.70042409+7.48453258e-11j -0.69344581-7.18444017e-11j\n",
      " -0.68587773+6.78295052e-11j -0.67772412-6.31427799e-11j\n",
      " -0.6689896 +5.80444618e-11j -0.65967913-5.27275814e-11j\n",
      " -0.64979804+4.73259845e-11j -0.63935199-4.19318858e-11j\n",
      " -0.62834703+3.66036983e-11j -0.61678954-3.13783793e-11j\n",
      " -0.60468626+2.62759556e-11j -0.59204432-2.13063391e-11j\n",
      " -0.57887119+1.64721203e-11j -0.56517471-1.17721790e-11j\n",
      " -0.55096311+7.20158343e-12j -0.53624496-2.75599113e-12j\n",
      " -0.52102925-1.57091216e-12j -0.50532533+5.78542365e-12j\n",
      " -0.48914291-9.89167509e-12j -0.47249212+1.38959748e-11j\n",
      " -0.45538348+4.11066640e-17j -0.43782787+2.16116977e-11j\n",
      " -0.41983662-2.53302168e-11j -0.40142141+2.89585306e-11j\n",
      " -0.38259435-3.24984484e-11j -0.36336796+3.59504507e-11j\n",
      " -0.34375517-3.93147853e-11j -0.32376933+4.25913312e-11j\n",
      " -0.30342421-4.57788638e-11j -0.28273399+4.88758028e-11j\n",
      " -0.26171331-5.18804663e-11j -0.2403772 +5.47900772e-11j\n",
      " -0.21874117-5.76020085e-11j -0.19682114+6.03125340e-11j\n",
      " -0.17463349-6.29179625e-11j -0.15219503+6.54139441e-11j\n",
      " -0.12952304-6.77957999e-11j -0.10663524+7.00583479e-11j\n",
      " -0.08354979-7.21965945e-11j -0.06028534+7.42039899e-11j]\n",
      "[8.33768668e-15 1.02395130e-14 9.82547377e-15 6.66991686e-11\n",
      " 5.72140187e-11 5.20734207e-11 4.94724529e-11 4.82042915e-11\n",
      " 4.76304839e-11 4.74196032e-11 2.36793272e-09 2.31139704e-09\n",
      " 2.26537215e-09 2.22690581e-09 2.19418862e-09 2.16606467e-09\n",
      " 2.14174886e-09 2.12068069e-09 2.10242487e-09 2.08663230e-09\n",
      " 2.07299897e-09 2.06126618e-09 2.05119703e-09 2.04258410e-09\n",
      " 2.03523324e-09 2.02897571e-09 2.02365547e-09 2.01911353e-09\n",
      " 2.01523636e-09 2.01189724e-09 3.55271368e-15 2.00640642e-09\n",
      " 2.00405687e-09 2.00186366e-09 1.99975030e-09 1.99762774e-09\n",
      " 1.99545614e-09 1.99316509e-09 1.99070878e-09 1.98803274e-09\n",
      " 1.98510949e-09 1.98188560e-09 1.97834944e-09 1.97446156e-09\n",
      " 1.97021632e-09 1.96558026e-09 1.96055625e-09 1.95514622e-09\n",
      " 1.94933919e-09 1.94314551e-09]\n",
      "[15.56037847 15.54909502 15.53029617 15.50399231 15.47019793 15.42893171\n",
      " 15.3802165  15.3240793  15.2605513  15.18966787 15.11146862 15.02599733\n",
      " 14.93330206 14.83343509 14.72645299 14.61241661 14.49139111 14.36344599\n",
      " 14.22865513 14.08709678 13.93885359 13.78401268 13.62266566 13.4549086\n",
      " 13.28084217 13.10057159 12.9142067  12.72186201 12.5236567  12.31971472\n",
      " 12.11016479 11.89514045 11.67478012 11.44922712 11.21862975 10.98314132\n",
      " 10.7429202  10.49812986 10.24893892  9.99552123  9.73805587  9.47672722\n",
      "  9.211725    8.94324434  8.67148578  8.39665533  8.11896449  7.83863033\n",
      "  7.55587543  7.270928  ]\n",
      "[4.73232564e-15 3.27515792e-15 3.53227187e-15 6.67026199e-11\n",
      " 5.72123156e-11 5.20763451e-11 4.94692503e-11 4.82074855e-11\n",
      " 4.76407153e-11 4.74144669e-11 2.36793412e-09 2.31139905e-09\n",
      " 2.26537207e-09 2.22690749e-09 2.19419244e-09 2.16606597e-09\n",
      " 2.14174951e-09 2.12067992e-09 2.10242591e-09 2.08663107e-09\n",
      " 2.07300208e-09 2.06126627e-09 2.05120029e-09 2.04258235e-09\n",
      " 2.03523855e-09 2.02897366e-09 2.02364804e-09 2.01911667e-09\n",
      " 2.01523762e-09 2.01190168e-09 1.33226763e-15 2.00640334e-09\n",
      " 2.00405978e-09 2.00186196e-09 1.99974095e-09 1.99763090e-09\n",
      " 1.99545535e-09 1.99316827e-09 1.99070780e-09 1.98803594e-09\n",
      " 1.98510731e-09 1.98188843e-09 1.97834810e-09 1.97446437e-09\n",
      " 1.97021437e-09 1.96558225e-09 1.96056162e-09 1.95514254e-09\n",
      " 1.94934292e-09 1.94315413e-09]\n",
      "224\n",
      "[0.35253462-1.35483047e-10j]\n",
      "[5.73144333e-10]\n",
      "[5.81508231e-10]\n",
      "[2.21463096]\n",
      "225\n",
      "[0.35253462-1.35483047e-10j]\n",
      "[5.81508231e-10]\n",
      "[2.21463096]\n",
      "[5.73142507e-10]\n",
      "226\n",
      "[0.35253462-1.35483047e-10j]\n",
      "[4.94370332e-10]\n",
      "[4.95091724e-10]\n",
      "[10.85045255]\n",
      "227\n",
      "[0.35253462-1.35483047e-10j]\n",
      "[4.95091724e-10]\n",
      "[10.85045255]\n",
      "[4.94370161e-10]\n",
      "228\n",
      "[0.35253462+1.35483188e-10j]\n",
      "[5.73144715e-10]\n",
      "[5.81507801e-10]\n",
      "[2.21463096]\n",
      "229\n",
      "[0.35253462+1.35483188e-10j]\n",
      "[5.81508489e-10]\n",
      "[2.21463096]\n",
      "[5.73146083e-10]\n",
      "230\n",
      "[0.35253462+1.35483188e-10j]\n",
      "[4.95095304e-10]\n",
      "[4.94377362e-10]\n",
      "[10.85045255]\n",
      "231\n",
      "[0.35253462+1.35483188e-10j]\n",
      "[4.94377362e-10]\n",
      "[10.85045255]\n",
      "[4.95098933e-10]\n",
      "232\n",
      "[-0.35253462-1.35483059e-10j]\n",
      "[5.73138021e-10]\n",
      "[5.81504057e-10]\n",
      "[2.21463096]\n",
      "233\n",
      "[-0.35253462-1.35483059e-10j]\n",
      "[5.81504057e-10]\n",
      "[2.21463096]\n",
      "[5.73139924e-10]\n",
      "234\n",
      "[-0.35253462-1.35483059e-10j]\n",
      "[4.95093489e-10]\n",
      "[4.94370161e-10]\n",
      "[10.85045255]\n",
      "235\n",
      "[-0.35253462-1.35483059e-10j]\n",
      "[4.94370161e-10]\n",
      "[10.85045255]\n",
      "[4.95095353e-10]\n"
     ]
    }
   ],
   "source": [
    "test_Hermitian(21)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 30,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.823529411764706\n",
      "Theoretical\n",
      "Numerical\n"
     ]
    }
   ],
   "source": [
    "test_Hermitian_y_major(41)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[]\n",
      "max: 0.0\n",
      "[]\n",
      "max: 0.0\n",
      "[]\n",
      "max: 0.0\n",
      "[]\n",
      "max: 0.0\n",
      "[]\n",
      "max: 0.0\n"
     ]
    }
   ],
   "source": [
    "sweep_x_major()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 34,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'test_BZ_x_major' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[34], line 3\u001b[0m\n\u001b[1;32m      1\u001b[0m \u001b[39m# for j in range(40, 47):\u001b[39;00m\n\u001b[1;32m      2\u001b[0m \u001b[39m#     test_Hermitian(j)\u001b[39;00m\n\u001b[0;32m----> 3\u001b[0m test_BZ_x_major(\u001b[39m41\u001b[39m)\n",
      "\u001b[0;31mNameError\u001b[0m: name 'test_BZ_x_major' is not defined"
     ]
    }
   ],
   "source": [
    "# for j in range(40, 47):\n",
    "#     test_Hermitian(j)\n",
    "test_BZ_x_major(41)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 33,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "0.8627450980392156\n",
      "Theoretical\n"
     ]
    },
    {
     "ename": "FileNotFoundError",
     "evalue": "[Errno 2] No such file or directory: 'data/GBZ_data_3/y_major_43.pkl'",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mFileNotFoundError\u001b[0m                         Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[33], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m test_Hermitian_y_major(\u001b[39m43\u001b[39;49m)\n",
      "Cell \u001b[0;32mIn[27], line 26\u001b[0m, in \u001b[0;36mtest_Hermitian_y_major\u001b[0;34m(phi1_index)\u001b[0m\n\u001b[1;32m     19\u001b[0m     ax\u001b[39m.\u001b[39mplot(np\u001b[39m.\u001b[39mcos(k2), np\u001b[39m.\u001b[39msin(k2), E_list[j,:])\n\u001b[1;32m     20\u001b[0m \u001b[39m#     if(j < 2):\u001b[39;00m\n\u001b[1;32m     21\u001b[0m \u001b[39m#         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*k2), ux, uy, vx))))\u001b[39;00m\n\u001b[1;32m     22\u001b[0m \u001b[39m#     else:\u001b[39;00m\n\u001b[1;32m     23\u001b[0m \u001b[39m#         print(np.max(np.abs(char_poly(E_list[j,:], np.exp(1j*k1), np.exp(1j*(np.pi-k2)), ux, uy, vx))))\u001b[39;00m\n\u001b[0;32m---> 26\u001b[0m \u001b[39mwith\u001b[39;00m \u001b[39mopen\u001b[39;49m(\u001b[39m\"\u001b[39;49m\u001b[39mdata/GBZ_data_3/y_major_\u001b[39;49m\u001b[39m%d\u001b[39;49;00m\u001b[39m.pkl\u001b[39;49m\u001b[39m\"\u001b[39;49m\u001b[39m%\u001b[39;49m(phi1_index), \u001b[39m\"\u001b[39;49m\u001b[39mrb\u001b[39;49m\u001b[39m\"\u001b[39;49m) \u001b[39mas\u001b[39;00m fp:\n\u001b[1;32m     27\u001b[0m     GBZ_segments \u001b[39m=\u001b[39m pickle\u001b[39m.\u001b[39mload(fp)\n\u001b[1;32m     29\u001b[0m \u001b[39mprint\u001b[39m(\u001b[39m\"\u001b[39m\u001b[39mNumerical\u001b[39m\u001b[39m\"\u001b[39m)\n",
      "File \u001b[0;32m~/.local/lib/python3.9/site-packages/IPython/core/interactiveshell.py:284\u001b[0m, in \u001b[0;36m_modified_open\u001b[0;34m(file, *args, **kwargs)\u001b[0m\n\u001b[1;32m    277\u001b[0m \u001b[39mif\u001b[39;00m file \u001b[39min\u001b[39;00m {\u001b[39m0\u001b[39m, \u001b[39m1\u001b[39m, \u001b[39m2\u001b[39m}:\n\u001b[1;32m    278\u001b[0m     \u001b[39mraise\u001b[39;00m \u001b[39mValueError\u001b[39;00m(\n\u001b[1;32m    279\u001b[0m         \u001b[39mf\u001b[39m\u001b[39m\"\u001b[39m\u001b[39mIPython won\u001b[39m\u001b[39m'\u001b[39m\u001b[39mt let you open fd=\u001b[39m\u001b[39m{\u001b[39;00mfile\u001b[39m}\u001b[39;00m\u001b[39m by default \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[1;32m    280\u001b[0m         \u001b[39m\"\u001b[39m\u001b[39mas it is likely to crash IPython. If you know what you are doing, \u001b[39m\u001b[39m\"\u001b[39m\n\u001b[1;32m    281\u001b[0m         \u001b[39m\"\u001b[39m\u001b[39myou can use builtins\u001b[39m\u001b[39m'\u001b[39m\u001b[39m open.\u001b[39m\u001b[39m\"\u001b[39m\n\u001b[1;32m    282\u001b[0m     )\n\u001b[0;32m--> 284\u001b[0m \u001b[39mreturn\u001b[39;00m io_open(file, \u001b[39m*\u001b[39;49margs, \u001b[39m*\u001b[39;49m\u001b[39m*\u001b[39;49mkwargs)\n",
      "\u001b[0;31mFileNotFoundError\u001b[0m: [Errno 2] No such file or directory: 'data/GBZ_data_3/y_major_43.pkl'"
     ]
    }
   ],
   "source": [
    "test_Hermitian_y_major(43)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 10,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "PHCv2.4.86 released 2022-05-30 works!\n"
     ]
    }
   ],
   "source": [
    "import BerryPy.TightBinding as tb\n",
    "from scipy import linalg as la"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 11,
   "metadata": {},
   "outputs": [],
   "source": [
    "def ssh_2d_Hamiltonian(ux1, ux2, uy1, uy2, vx1, vx2):\n",
    "    a = 0\n",
    "    b = 1\n",
    "    intra_cell = [\n",
    "        [b, a, ux1],\n",
    "        [a, b, ux2]\n",
    "    ]\n",
    "    inter_cell = [\n",
    "        [a, b, vx1, (1, 0)],\n",
    "        [b, a, vx2, (-1, 0)],\n",
    "        [a, a, uy1, (0, 1)],\n",
    "        [a, a, uy2, (0, -1)],\n",
    "        [b, b, vx1, (0, 1)],\n",
    "        [b, b, vx2, (0, -1)]\n",
    "    ]\n",
    "\n",
    "    return tb.TightBindingModel(2, 2, [[1,0],[0,1]],\n",
    "                                intra_cell, inter_cell)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 2,
   "metadata": {},
   "outputs": [
    {
     "ename": "NameError",
     "evalue": "name 'ssh_2d_Hamiltonian' is not defined",
     "output_type": "error",
     "traceback": [
      "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m",
      "\u001b[0;31mNameError\u001b[0m                                 Traceback (most recent call last)",
      "Cell \u001b[0;32mIn[2], line 1\u001b[0m\n\u001b[0;32m----> 1\u001b[0m model \u001b[39m=\u001b[39m ssh_2d_Hamiltonian(ux1, ux2, uy1, uy2, vx1, vx2)\n\u001b[1;32m      2\u001b[0m Nx \u001b[39m=\u001b[39m \u001b[39m50\u001b[39m\n\u001b[1;32m      3\u001b[0m Ny \u001b[39m=\u001b[39m \u001b[39m50\u001b[39m\n",
      "\u001b[0;31mNameError\u001b[0m: name 'ssh_2d_Hamiltonian' is not defined"
     ]
    }
   ],
   "source": [
    "model = ssh_2d_Hamiltonian(ux1, ux2, uy1, uy2, vx1, vx2)\n",
    "Nx = 50\n",
    "Ny = 50\n",
    "model_x = model.get_supercell(\n",
    "    [(j,0) for j in range(Nx)],\n",
    "    np.array([\n",
    "        [Nx, 0],\n",
    "        [0, 1]\n",
    "    ])\n",
    ")\n",
    "model_2d = model_x.get_supercell(\n",
    "    [(0, j) for j in range(Ny)],\n",
    "    np.array([\n",
    "        [1,0],\n",
    "        [0,Ny]\n",
    "    ])\n",
    ")\n",
    "H_dense = model_2d.get_bulk_Hamiltonian_dense((None, None))\n",
    "eigv, eigvec = la.eig(H_dense)\n",
    "data = {\n",
    "    \"eigv\":eigv,\n",
    "    \"eigvec\":eigvec\n",
    "}\n",
    "sio.savemat(\"data/OBC_numerical_1.mat\", data)\n"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 14,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = sio.loadmat(\"data/OBC_numerical_2.mat\")"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 15,
   "metadata": {},
   "outputs": [],
   "source": [
    "eigv = data['eigv']"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "# plt.title(\"OBC, red: x major, blue: y major\")\n",
    "for j in range(50):\n",
    "# for j in [0, 10, 20, 30]:\n",
    "    if(os.path.exists(\"data/GBZ_data_2/x_major_%d.pkl\"%(j))):\n",
    "        with open(\"data/GBZ_data_2/x_major_%d.pkl\"%(j), \"rb\") as fp:\n",
    "            GBZ_segments = pickle.load(fp)\n",
    "        plt.figure(1)\n",
    "        plt.title(\"x major\")\n",
    "        plt.axis([-10,10,-3,3])\n",
    "        for seg in GBZ_segments:\n",
    "            plt.plot(seg[:,0].real, seg[:,0].imag, 'r.')\n",
    "    if(os.path.exists(\"data/GBZ_data_2/y_major_%d.pkl\"%(j))):\n",
    "        with open(\"data/GBZ_data_2/y_major_%d.pkl\"%(j), \"rb\") as fp:\n",
    "            GBZ_segments = pickle.load(fp)\n",
    "        plt.figure(2)\n",
    "        plt.axis([-10,10,-3,3])\n",
    "        plt.title(\"y major\")\n",
    "        for seg in GBZ_segments:\n",
    "            plt.plot(seg[:,0].real, seg[:,0].imag, 'b.')\n",
    "    # plt.pause(0.1)\n",
    "# plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.figure(3)\n",
    "plt.plot(eigv.real, eigv.imag, 'k.')\n",
    "plt.axis([-10,10,-3,3])\n",
    "plt.title(\"OBC numerical\")\n",
    "# plt.title(\"Black: OBC numerical, Red: x major GBZ, Blue: y major GBZ\")\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 12,
   "metadata": {},
   "outputs": [],
   "source": [
    "model = ssh_2d_Hamiltonian(ux1, ux2, uy1, uy2, vx1, vx2)\n",
    "model_clinic = model.get_supercell(\n",
    "    [(0,0)],\n",
    "    [[1, 0],\n",
    "     [1, 1]]\n",
    ")\n",
    "Nx = 30\n",
    "Ny = 200\n",
    "model_x = model_clinic.get_supercell(\n",
    "    [(j,0) for j in range(Nx)],\n",
    "    np.array([\n",
    "        [Nx, 0],\n",
    "        [0, 1]\n",
    "    ])\n",
    ")\n",
    "model_2d = model_x.get_supercell(\n",
    "    [(0, j) for j in range(Ny)],\n",
    "    np.array([\n",
    "        [1,0],\n",
    "        [0,Ny]\n",
    "    ])\n",
    ")\n",
    "H_dense = model_2d.get_bulk_Hamiltonian_dense((None, None))\n",
    "eigv, eigvec = la.eig(H_dense)\n",
    "data = {\n",
    "    \"eigv\":eigv,\n",
    "    \"eigvec\":eigvec\n",
    "}\n",
    "sio.savemat(\"data/OBC_numerical_2.mat\", data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = sio.loadmat(\"data/OBC_numerical_2.mat\")\n",
    "eigv = data['eigv'].flatten()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 36,
   "metadata": {},
   "outputs": [
    {
     "name": "stderr",
     "output_type": "stream",
     "text": [
      "/home/wangchenyang/.local/lib/python3.9/site-packages/BerryPy/charpoly_berkowitz.py:61: SymPyDeprecationWarning: \n",
      "\n",
      "non-Expr objects in a Matrix is deprecated. Matrix represents\n",
      "a mathematical matrix. To represent a container of non-numeric\n",
      "entities, Use a list of lists, TableForm, NumPy array, or some\n",
      "other data structure instead.\n",
      "\n",
      "See https://docs.sympy.org/latest/explanation/active-deprecations.html#deprecated-non-expr-in-matrix\n",
      "for details.\n",
      "\n",
      "This has been deprecated since SymPy version 1.9. It\n",
      "will be removed in a future version of SymPy.\n",
      "\n",
      "  toeplitz = sp.SparseMatrix(n+1,n,Elements)\n"
     ]
    }
   ],
   "source": [
    "curr_char_poly = model_clinic.get_characteristic_polynomial_ctype()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 39,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "+(+0.000000000000000000e+00-3.000000000000000000e+00*i)*y*(z**3)+(+0.000000000000000000e+00+4.000000000000000000e+00*i)*(y**2)+(-8.000000000000000000e+00+8.000000000000000000e+00*i)*(y**2)*(z**2)+(+0.000000000000000000e+00+4.000000000000000000e+00*i)*(y**2)*(z**4)+(+0.000000000000000000e+00-3.000000000000000000e+00*i)*(y**3)*z+(-4.000000000000000000e+00-1.000000000000000000e+00*i)*x*(y**2)*z+(-4.000000000000000000e+00-1.000000000000000000e+00*i)*x*(y**2)*(z**3)+(+1.000000000000000000e+00+0.000000000000000000e+00*i)*(x**2)*(y**2)*(z**2);\n"
     ]
    }
   ],
   "source": [
    "print(curr_char_poly.f_num.to_str([\"x\", \"y\", \"z\"]))"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 40,
   "metadata": {},
   "outputs": [],
   "source": [
    "num_coeff, num_orders = curr_char_poly.f_num.batch_get_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 43,
   "metadata": {},
   "outputs": [],
   "source": [
    "denom_coeff, denom_orders = curr_char_poly.f_denom.batch_get_data()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 44,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[1.+0.j] [[0 2 2]]\n"
     ]
    }
   ],
   "source": [
    "print(denom_coeff, denom_orders)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 45,
   "metadata": {},
   "outputs": [],
   "source": [
    "char_poly_orders = num_orders.copy()\n",
    "for j in range(char_poly_orders.shape[0]):\n",
    "    for k in range(3):\n",
    "        char_poly_orders[j, k] -= denom_orders[0, k]"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 46,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "[[0 1 3]\n",
      " [0 2 0]\n",
      " [0 2 2]\n",
      " [0 2 4]\n",
      " [0 3 1]\n",
      " [1 2 1]\n",
      " [1 2 3]\n",
      " [2 2 2]]\n",
      "[[0 2 2]]\n",
      "[[ 0 -1  1]\n",
      " [ 0  0 -2]\n",
      " [ 0  0  0]\n",
      " [ 0  0  2]\n",
      " [ 0  1 -1]\n",
      " [ 1  0 -1]\n",
      " [ 1  0  1]\n",
      " [ 2  0  0]]\n"
     ]
    }
   ],
   "source": [
    "print(num_orders)\n",
    "print(denom_orders)\n",
    "print(char_poly_orders)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 47,
   "metadata": {},
   "outputs": [],
   "source": [
    "data = {\"coeffs\":num_coeff, \"orders\":char_poly_orders}\n",
    "sio.savemat(\"data/GBZ_char_poly_2.mat\", data)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": null,
   "metadata": {},
   "outputs": [],
   "source": []
  },
  {
   "cell_type": "code",
   "execution_count": 35,
   "metadata": {},
   "outputs": [],
   "source": [
    "plt.plot(eigv.real, eigv.imag, '.')\n",
    "plt.show()"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 49,
   "metadata": {},
   "outputs": [],
   "source": [
    "import c_solver_2D as csolver"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 54,
   "metadata": {},
   "outputs": [],
   "source": [
    "data_id = 2\n",
    "char_poly_data = sio.loadmat(\"data/GBZ_char_poly_%d.mat\"%(data_id))\n",
    "coeffs = csolver.CScalarVec(char_poly_data['coeffs'].flatten())\n",
    "orders = csolver.CIntVec(char_poly_data['orders'].flatten())"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 52,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "aGBZ_2D_solver_ScalarVec[(0,-3), (0,4), (-8,8), (0,4), (0,-3), (-4,-1), (-4,-1), (1,0)]\n",
      "[ 0.-3.j  0.+4.j -8.+8.j  0.+4.j  0.-3.j -4.-1.j -4.-1.j  1.+0.j]\n"
     ]
    }
   ],
   "source": [
    "print(coeffs)\n",
    "print(num_coeff)"
   ]
  },
  {
   "cell_type": "code",
   "execution_count": 55,
   "metadata": {},
   "outputs": [
    {
     "name": "stdout",
     "output_type": "stream",
     "text": [
      "aGBZ_2D_solver_IntVec[0, -1, 1, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 1, -1, 1, 0, -1, 1, 0, 1, 2, 0, 0]\n",
      "[[ 0 -1  1]\n",
      " [ 0  0 -2]\n",
      " [ 0  0  0]\n",
      " [ 0  0  2]\n",
      " [ 0  1 -1]\n",
      " [ 1  0 -1]\n",
      " [ 1  0  1]\n",
      " [ 2  0  0]]\n"
     ]
    }
   ],
   "source": [
    "print(orders)\n",
    "print(char_poly_orders)"
   ]
  }
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